What is the equation of the line that passes through (4,3) and (2, -1)?

y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13

Answers

Answer 1

c

you need to find the slope and then y intercept

m=y2-y1/x2-x1

so m=2

now y intercept

3=2(4)+b

solve for b

u get -5

therefore

y=2x-5


Related Questions

Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.

Answers

Answer:

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Taking two points

(-5, 2)(5, 8)

Taking two points (-5, 2) and (5, 8) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]

[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{3}{5}[/tex]

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5

Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)

Answers

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

The answer is B, because the answer is (8,4)

finding side length of the 90-degree angle triangle

Answers

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4

What are the next three terms of the geometric sequence 32, -16, 8, …?

Answers

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

multiply choice question! which one?

Answers

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

I need help with this question

Answers

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to determine the dilation scale

As we can see we have a dilation of 9 to 27

The ratio here will be;

9 to 27

which is 1 to 3

WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MAKE SURE YOU DID IT RIGHT. I NEED EVIDENCE THAT SHOWS WHY ITS THE ANSWER. THANK YOU.

Answers

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

A line of best fit is a line that goes evenly through the points, or as best as it could.

help a brother out ya boy is lazy and don't wanna work.

Answers

Answer:

10

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Pls show workings it due in a hour

Answers

Answer:

The inequality describes all possible value of x is 14 < x < 32D

Step-by-step explanation:

In any triangle:

The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sides

In the given figure

ABC is a triangle

∵ AC = 9 and BC = 21

∵ AB is the third side of the triangle

→ By using the rules above

BC - AC < AB < BC + AC

∵ AB = x - 2

→ Substitute their values in the inequality above

21 - 9 < x - 2 < 21 + 9

∴ 12 < x - 2 < 30

→ Add 2 to the 3 terms

∴ 12 + 2 < x - 2 + 2 < 30 + 2

14 < x < 32

The inequality describes all possible value of x is 14 < x < 32

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

B -3/4 you take the two points

Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.

Answers

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brittney attempted to order a set of numbers from least to greatest
-2.9 72/80 2.979 3 1/5 π
what does Brittney need to do to make the order correct?

Answers

She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2

Answers

Answer:

1/16m^2 -2*1/4m*2n+4n^2

If you want to write it in more simple picture :

1/16m^2 -mn +4n^2

Answer:

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Step-by-step explanation:

Given the polynomial

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

Expanding and simplifying

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

as 1/4 = 4/m, so

[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]

Apply perfect square formula:  [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]

simplifying

[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]

[tex]=\frac{m^2}{16}-mn+4n^2[/tex]

Therefore,

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?

Answers

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?

Answers

Answer:

59

Step-by-step explanation:

1) so you start with the mean being 72x5=360

2)100+42+87+66=295

3) 360-295=65

(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help

what is 46274648354846374 times 77466​

Answers

3.5847146e+20

:)))))))))))))

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

The original price of a CD is 9.95 tax is 4% what the answer

Answers

Answer:

$9.55

Step-by-step explanation:

4/100=0.04

0.04x9.95=0.40

9.95-0.40=9.55

4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.

The number of fish in a lake decreased by 25% between last year and this year. This year there are 45 fish in the lake. What was the population of last year

Answers

Answer:

The population of last year was 60.

Step-by-step explanation:

From the information given, as you know that the number of fish in a lake decreased by 25% between last year and this year, the amount of fish this year represents 75% of last year's population as: 100%-25%=75%. With that, you can use a rule of three to find last year's population tha would represent 100% given that 75% is equal to 45 fish.

75%   →  45

100%  →   x

x=(100*45)/75= 60

According to this, the answer is that the population of last year was 60.

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

hurry please what is 1+1

Answers

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

Which statement is true ?

Answers

Answer:

the second one

Step-by-step explanation:

An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal

Answers

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

what's 5x+y=3 written in y=mx+b form​

Answers

Answer:

y=-5x+3

Step-by-step explanation:

5x+y=3

sub 5x from each side

y=-5x+3

Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}

Answers

Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Hello there! The answer is A!

HELP THIS IS TIMED !!!!

Answers

Answer:

55,300

Step-by-step explanation:

Every year it goes up 2,400

2,400x4=9,600

9,600+45,700=

55,300

a parallelogram has a size of 8ft and 6ft with an area of 54 ft squared. what is the length of the altitude to the 8ft base
A. 6.75
B.9
C.24
D.27

Answers

Answer: may i see a picture then I can help

Step-by-step explanation:

1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El

Answers

Answer:

It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing

Step-by-step explanation:

I don't know how to  know how to answer this lol, because I need a better explination

What is the value of 2/7 divided by 4/9

Answers

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is

I need help please. Thank you

Answers

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.

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