Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.

Answers

Answer 1

Answer:

The answer is

[tex]y = 2x + 13[/tex]

Step-by-step explanation:

Remember:

[tex]Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept[/tex]

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

First: Find the slope.

[tex]M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2[/tex]

.

Second: Solve for the y-intercept

[tex]y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b} [/tex]

.

Third: Plug in.

[tex]y = mx + b \\ y = 2x + 13[/tex]


Related Questions

find the slope of the line which is perpendicular to the line 7 x + 11 Y - 2=0​

Answers

Answer:

[tex]\huge\boxed{slope=-\dfrac{7}{11}}[/tex]

Step-by-step explanation:

METHOD 1

The slope-intercept form of an equation of a line:

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

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

We have the equation in the general form [tex](Ax+By+C=0)[/tex].

Convert to the slope-intercept form:

[tex]7x+11y-2=0[/tex]    subtract 7x from both sides

[tex]11y-2=-7x[/tex]     add 2 to both sides

[tex]11y=-7x+2[/tex]     divide both sides by 11

[tex]y=-\dfrac{7}{11}x+\dfrac{2}{11}[/tex]

METHOD 2

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

The slope:

[tex]m=\dfrac{-A}{B}[/tex]

We have

[tex]7x+11y-2=0\\\\A=7;\ B=11;\ C=-2[/tex]

Substitute:

[tex]m=\dfrac{-7}{11}=-\dfrac{7}{11}[/tex]

The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?

x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles

Answers

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

Round 75 to the nearest ten.
Round 92 to the nearest ten.
Multiply the rounded numbers.
Product
PLEASE HELP I KINDA FORGOT HOW TO ROUND

Answers

Answer:

75>80

92>90

80×90=7,200.

i have to make an expression that has a value of 10 out of the numbers 5,2,1,1 and the format it has to go in is like ( - )+( x )=10 help me please

Answers

Answer:

(1-1)+(5×2)

hope this helps you

The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA

Answers

4.19 inches

use the formula: central angle/360°=arc length/8 pi

60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses

Answers

Answer:

She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

=  270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles


Which two numbers have a mean of 10 and a range of 4?

NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING ​

Answers

the answer would be 12 and 8

Simplify. Write in Standard Form. r²(r+1)-r(2r²-1)
PLEASE EXPLAIN HOW YOU GOT IT!!!!

Answers

Answer:

−r^3+r^2+r

Step-by-step explanation:

Let's simplify step-by-step.

r^2(r+1)−r(2r^2−1)

Distribute:

=(r^2)(r)+(r^2)(1)+−2r^3+r

=r^3+r^2+−2r^3+r

Combine Like Terms:

=r^3+r^2+−2r^3+r

=(r^3+−2r^3)+(r^2)+(r)

=−r^3+r^2+r

Sorry i could'nt help

What equation could be written for this table?

Answers

Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

solve the simultaneous equations
5x-2y=4
3x-6y=6

Answers

Hope this helps.
x=0.5
y=-3/4

Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.

Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.

k
8
12
k+2
k+8
k+10
k-2
k-8

Answers

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Write the inverse of each function.
a. f(x)=x−103
b. g(x)=3/4x+6
Please help me I beg you!!!! 25 points!!!! I need to pass!!!

Answers

Answer:

b. y-6=3/4

4x (y-6)=3

4x=3/(y-6)

y=3/(x-6.

a. not soo sure

please help me with these three questions, i'll give brainliest

Answers

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

on the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2

Answers

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation [tex]y=3x+2[/tex]

We need to draw the graph of the equation.

Put x=0 in the above equation.

[tex]y=3(0)+2[/tex]

[tex]y=2[/tex]

The coordinate is (0,2).

Put y=0 in the given equation.

[tex]0=3x+2[/tex]

[tex]-2=3x[/tex]

[tex]x=\frac{-2}{3}[/tex]

The coordinate is ([tex]\frac{-2}{3}[/tex],0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.

Answers

Answer: 525

Step-by-step explanation:

450+15+60=525

Answer:

The cost of each ticket is $30.

Step-by-step explanation:

$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.

450 ÷ 15 = 30

Someone pls help me with both :(

Answers

Answer:

5) A

6) D

Step-by-step explanation:

for 5) I did just looked up online

2.5% of 25,000

and I added it to 25,000

which was 26,265.625

so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21

for 6) I did similar to 5) but I used the numbers that were given

I looked up 4% of 1,250 and I did that twice and got $1,352.55

hope that helped ;)

Tell which number is greater.

0.086, 86%

Answers

Answer:

86%

Step-by-step explanation:

86% is greater

Explanation

86% as decimal = 86/100 = .86

Now u can tell that .86> .086

plz help timed MATHHHH 12 pointes

Answers

Answer:

Ok what you need help with. Were u going to post a picture?

Step-by-step explanation:

I'll help you.

answer the pic below

Answers

Answer:

second answer - think im right

Step-by-step explanation:

Answer:

B

The second answer

Step-by-step explanation:

please mark me as brainliest

Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?

Answers

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

6 is 16% of what number?​

Answers

Answer:

37.5

Step-by-step explanation:

Answer:

6 is 16% of the number 37.5

Step-by-step explanation:

We have, 16% × x = 6

or, 16/100 × x = 6

Multiplying both sides by 100 and dividing both sides by 16,

we have x = 6 × 100/16

x = 37.5

A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.

A. (1.5, 2)

B. (-1.5, 2)

C. (0, 1.3)

D. (0, 0)

Answers

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

Can yiu ANSWER ALL OF THEESE QUESTIONS :
1.Its cost $10.00 for 20 oranges. Is $2.00 per orange accurate?

2.Find the unit rate for 5 cans of chicken soup that cost a total of $2.00.​

Answers

Answer:

yes number one yes the second one 2/5

Step-by-step explanation:

Answer: ok little Timmy

Step-by-step explanation:

1 = yes

2 = 10

The wildflowers began blooming by my house at the beginning of March. The first week there were 72 blooms. After week two, there were 144 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 7 weeks?

Answers

Answer:

answer: 504 blooms <3

Step-by-step explanation:

if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!

I need helppppp with this please

Answers

i need help with that tooooo

Solve the equation:
−8n−8=−72

Select one:

n=−20

n=−2

n=8

n=17

Answers

Answer: n=8

Step-by-step explanation:

N=8, I showed the work your welcome

Find the value of x in the image

Answers

Answer:

50

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

state the slope and y-intercept for the graph of the equation y=-3x+5

Answers

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

Answer:

The slope is -3 and y is 5. hope that helped

Solve by completing the square:
2) 3x2 + 24x - 27 = 0

Answers

X = 1
Or
X= - 9
Sorry if it’s wrong first time doing this!

Leah spent three times the amount Damean spent on CDs. Damean spent $33.87. How much did Leah spend on CDs?​

Answers

Answer:

$101.61

Step-by-step explanation:

33.87 times 3 = 101.61

Answer:

She spent $101. 61 on CD's

Step-by-step explanation:

You need to multiply 33.87 by three since she spent three times as much.

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