when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coordinates of two points on the line?

Answers

Answer 1

To determine the value of m in the equation, apply the slope formula, m [tex]= \frac{y_2 - y_1}{x_2 - x_1}[/tex].

How to Determine the Slope of a Line?

The slope of a line (m) = change in y / change in x = (y2 - y1)/(x2 - x1).

In the slope-intercept form of an equation that represents a line, the slope is represented as "m" in y = mx + b.

The equation we can use to determine the slope (m) if we are given two points on a line is, m = (y2 - y1)/(x2 - x1).

For example, if two points, (-4,2) and (8,5) are points on the line, we can find the value of the slope (m) as:

m = (2 - 5)/(-4 - 8) = -3/-12

Slope (m) = 1/4

The value of m to use in the equation of the line would be 1/4.

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Related Questions

A project calls for three pieces of wood. The longest piece must be twice the length
of the middle-sized piece. The shortest piece must be 10 in. shorter than the middle-
sized piece. If a board 70 in. long is to be used, how long can each piece be?

Answers

Answer:

70,35,25

Step-by-step explanation:

Let longest piece = a = 70

Let medium piece = b = 35

Let shortest piece = c = 25

a=2b

70=2b

35=b

c+10=b

c+10=35

c=25

Help on this please will make brainliest

Answers

Answer:

help on what?

Step-by-step explanation:

Answer:

You need to post a question or a screenshot of the question so someone can help you!

Mr.cayanan bought 4 bottles of honey each contained 1.25 liters how many liters of honey she prepared?​

Answers

Answer:

the answer Is 5

Step-by-step explanation:

1.25 × 4 = 5

In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?

Answers

Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.

Step-by-step explanation: The explanation is in the answer.

Simplify 5 to the power 3 over 5 to the power 7

Answers

Answer:

0.0016 or 16/10000

Step-by-step explanation:

1) 5^3/5^7

2) 125/78,125

3) 0.0016

Answer:

[tex]\frac{1}{625}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] ( where n > m ) , then

[tex]\frac{5^{3} }{5^{7} }[/tex]

= [tex]\frac{1}{5^{(7-3)} }[/tex]

= [tex]\frac{1}{5^{4} }[/tex]

= [tex]\frac{1}{625}[/tex]

Which list is in order from least to greatest? A. 29, 15−−√, π, 4.1 B. 29, π, 15−−√, 4.1 C. 4.1, 15−−√, π, 29 D. 4.1, π, 15−−√, 29

Answers

Answer:

From least to greatest;

[tex]\pi \:, \sqrt{15} , \: 4.1 \: ,29[/tex]

Step-by-step explanation:

[tex]\pi = 3.14 \\ \sqrt{15} = 3.87 \\ 4.1 = 4.1 \\ 29 = 29[/tex]

I hope I helped you^_^

Someone pls help me I will make you brain

Answers

Answer: Cant see or read

Step-by-step explanation:

Write the equation of a line with a slope of 3 that passes through the point (3, -4) in point-slope
form. Then change to slope-intercept form.

Answers

Step-by-step explanation:

Point slope for can be written as [tex]y-y_{1} =m(x-x_{1} )[/tex]

Where your point used is ([tex]x_{1} ,y_{1}[/tex]) and your slope is m.

Here we get y-(-4)=3(x-3)

y+4=3(x-3)

For slope-intercept form just move the 4 to the other side.

y=3x-13

Simplify the expression.


options:

52

152

512

25

Answers

Answer:

The correct answer is 152

Can someone help me with part B?? I already did part A

Thank you so much :)

Answers

Answer:

-150

Step-by-step explanation:

this is because you do 250 - 100 which equals -150

In part A you subtracted 100 from 100 giving you 0.

Continuing to part B you would subtract 100 from 250 leaving you with 150.

PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!

if y=28 when x= 168, find y when x =108.

Answers

Answer: oke we give y=a*x

Step-by-step explanation:a=[tex]\frac{1}{6}[/tex]

[tex]\frac{y}{108}[/tex]=[tex]\frac{1}{6}[/tex]

=>y =18

someone help me im trying not to fail this year-​

Answers

Answer:

x-y=-3

Step-by-step explanation:

Volume = 154 cm cubic
height = 16 cm
d = ?
FIND THE DIAMETER OF THE CYLINDER
#SHOW THE WORKING PLZZ

Answers

Cylinder Volume

Level : JHS

V = hπr²

154 cm³ = 16 cm × 3.14 × r²

154 cm³ = 50.28 cm × r²

r² = 154 cm³ : 50.28 cm

r² = 3.0625 cm²

r = 1.75 cm

d = 2r

d = 2 × 1.75 cm

d = 3.5 cm

So, the diameter of the Cylinder is 3.5 cm

#LearnWithEXO

(3,1) m=2

show werek​

Answers

First we need y intercept

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 1=2(3)+b[/tex]

[tex]\\ \sf\longmapsto 1=6+b[/tex]

[tex]\\ \sf\longmapsto b=-5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=2x-5[/tex]

Answer:

y = 2x - 5

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color

Answers

Answer:

13

Step-by-step explanation:

Because the problem says to make sure we have at least 3 candies of the same color, we have to think about the worst-case scenario. To get the worst-case scenario, we need to have the largest amount of candies taken before fulfilling the statement that 3 candies have the same color, so we take 2 black, 2 white, 2 green, 2 red, 2 blue, and 2 yellow candies. This sums to 12, and you have the worst case scenario here. But wait, you've picked only 2 of each candy. You have to pick one more candy to make sure you have 3 candies of the same color, so the answer is 12 + 1 = 13 candies.

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The
total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip.
A. Write an equation to that can be used to determine how much a cab ride would cost anywhere in Washington DC.
B. What is the flat rate of the cab ride?
C. How much does it cost to travel 7 miles in a cab?

Answers

The equation that can be used to determine the cost of a cab ride is cost = $3 + ($1.50 x miles driven).

The flat rate of the cab ride is $3.

The cost of travelling 7 miles is $13.50.

The total amount that would be spent on the cab ride is a function of the price per mile, the total miles driven and the flat rate.

Total cost = variable rate + flat rate

variable rate = cost per mile x total miles driven

15 x $1.50 = $22.50

Flat rate = total cost - variable rate

$25.50 - $22,50 = $3

 

The equation to determine the total cost of a cab ride: $3 + $1.50m

Where m is the miles driven.

The cost of travelling 7 miles : 3 + (1.5 x 7) = $13.50

A similar question was answered here: https://brainly.com/question/22844904?referrer=searchResults

Plsss help me with this question!!!

Answers

Answer:

d 2.5

Step-by-step explanation:

|-2|-1/-2

2+1/2

2.5

Jon is training for a bike race and is attempting to improve his average speed. With his old trainer, Jon averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 22 MPH. By what percent did his average speed increase?

Answers

Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

PLS ANSWER QUICKLY!!!
If point P is between A and M, which of these is true?
A. AM + AP = PA
B. AP + PM = AM
C. PA + AM = PM
D. AM + PM = AP

Answers

Answer:

I believe it's B

Step-by-step explanation:

True option is, B. AP+PM=AM.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, given that,  point P is between A and M,

Then, A & M are the endpoints & P is on the line.

A---------------------P--------------------M

So, we get, AP+PM= AM

Hence, True option is, B. AP+PM=AM.

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Please helppp
I’ll mark

Answers

3 *7=21
1 *21=21
That’s simple enough

The point S(0, – 2) is translated 4 units left. What are the coordinates of the resulting point, S'?

Answers

Answer:

(-4, -2)

Step-by-step explanation:

When trying to find a translation left or right, add or subtract the X. Left would be subtraction so, subtract 4 units and this is what you get. (-4, -2)

Solve the system of equations: 2x + 5y = -1 and 3x - y = 7
A. х = 7, y=6
B. x = 2, y = -1
C. X = 2, y = 1
D. None of the above​

Answers

Answer:

B.) is correct answer .....

I think it is right..

I think it is right..Please make me brainliest..

Of the 75 students in the cafeteria, 11 of them had chocolate milk to drink. If there are 750 students in the school, predict the number of students who drank chocolate milk.

Answers

Answer:

I predict 74 is the answer. Sorry if I am wrong.

“To find 623, I can just take the value of 613 then either multiply it by 12 or divide it by 2.” Do you agree with her? Explain why or why not.

Answers

Step-by-step explanation:

613 and 623 are very close values.

multiplying by 12 or a division by 2 changes the starting value drastically.

so, this cannot be right.

and dividing 613 by 2 also makes it even smaller. but to get 623 we need to make it bigger.

so, therefore, even without actually calculating the numbers, the statement is proven false.

John wants to make cupcakes. To make cupcakes, he needs 5/7 of a cup of flour per
batch of cupcakes. If John has 10 cups of flour, then how many batches of cupcakes can
John make?

Answers

He can make about 7 batches! Hope this helped

3.7.5 Practice: Modeling: Pumpkin Launch

Answers

Answer:

(Go with the melon, tomato, or pumpkin)

Step-by-step explanation:

MELON: I chose the melon. The target is 40ft away, so the maximum height of the launch has to be 12 feet.

TOMATO: I chose the tomato (because the numbers are round and easy to manipulate) The target is 60ft away, so the maximum height of the launch has to be 45 feet.

PUMPKIN: I chose the pumpkin. The target is 50 ft away, so the maximum height is 62 feet.

How many pairs of opposite sides are parallel?
no pairs
1 pair
2 pairs

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, no pair of opposite sides are parallel.

There are no parallel side in the given figure.

Given is a figure we need to determine if there are any parallel side or not,

So, the parallel sides are defined as =

When two or more sides of a polygon are described as parallel, it means that they never cross over and are always equally spaced apart.

In other words, these sides would never intersect or cross each other if you extended them endlessly.

Shapes like squares, parallelograms, rectangles, and trapezoids are frequently linked to the idea of parallel sides.

The opposing sides of these polygons are parallel to one another. For instance, just one pair of opposite sides in a trapezoid is parallel but both sets of opposite sides are parallel in a rectangle.

So according to the definition of parallel lines there are no parallel sides in the figure.

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What is the missing integer?

Answers

Answer:

2

Step-by-step explanation:

-3-2=-5

its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember

Answer:

[tex]2[/tex]

Step-by-step explanation:

We want to solve this following equation for [tex]x[/tex]: [tex]-3-x=-5[/tex].

We can add [tex]3[/tex] to both sides of the equation to get [tex]-x=-2[/tex].

We can then divide both sides of the equation by [tex]-1[/tex] to get [tex]x=2[/tex].

So, the missing integer is [tex]\boxed{2}[/tex].

Note: [tex]2=5-3[/tex]. Coincidence?

Nyesha owns a lawn service company. Currently it takes her 50 hours a week to service all of her

customers. To reduce the number of hours a week she needs to work, Nyseha hires Shantese to

help her. While Nyesha was on vacation, Shantese was able to complete all of the work in 60 hours.

If Shantese and Nyesha work together, after Nyesha returns from facation, how long will it take

them to service all their customers?

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as;  [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  [tex]27\frac{3}{11}[/tex]  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = [tex]27\frac{3}{11}[/tex] hours

Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.

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what is the value of (-1/2) to the -4 power

Answers

Answer:

16

Step-by-step explanation:

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