1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
2 years ago
11

Write the equation of the line in fully simplified slope-intercept form…. pleaseee help

Mathematics
1 answer:
inysia [295]2 years ago
7 0

Answer:

y = -x + 2

Step-by-step explanation:

Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 4) / [0 - (-2)]

m = -2/ (0 + 2)

m =  -2/2  = -1

Therefore, the <u>slope</u> of the line is -1.

Next, we need to determine the <u>y-intercep</u>t of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.

Therefore, given the <u>slope</u>, <em>m</em> = -1, and the<u> y-intercept</u>, <em>b</em> = 2, the equation of the line is:  

<h3>y = -x + 2</h3>
You might be interested in
Help Asap if i can i will give brainliest
Aleonysh [2.5K]

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

6 0
3 years ago
A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approxim
Orlov [11]

Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

5 0
2 years ago
Factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)​
Fiesta28 [93]

Answer:

i think its 21/x-4

Step-by-step explanation:

sorry if im wrong

3 0
2 years ago
PLEASE HELP
Dmitrij [34]
If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!
7 0
2 years ago
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
natka813 [3]

ANSWER

( \frac{2}{3} , \frac{1}{5} )

EXPLANATION

The first equation is

\frac{1}{2} x -  \frac{3}{4} y =  \frac{11}{60} ...(1)

The second equation is

\frac{2}{5} x  +  \frac{1}{6} y =  \frac{3}{10} ...(2)

We want to eliminate y, so we multiply the first equation by

\frac{4}{5}

\frac{4}{5}  \times \frac{1}{2} x - \frac{4}{5}    \times \frac{3}{4} y =  \frac{11}{60}  \times  \frac{4}{5}

\frac{2}{5} x - \frac{3}{5} y =  \frac{11}{75} ...(3)

We now subtract equation (3) from (2)

(\frac{2}{3} x  -  \frac{2}{3} x )+ ( \frac{1}{6} y -  -  \frac{3}{5}y ) =(  \frac{3}{10}  -  \frac{11}{75} )

\frac{1}{6} y  +  \frac{3}{5}y  =\frac{3}{10}  -  \frac{11}{75}

\frac{23}{30}y =  \frac{23}{150}

Multiply both sides by

\frac{30}{23}

\implies \:  \frac{30}{23} \times  \frac{23}{30}y=  \frac{23}{150}  \times  \frac{30}{23}

\implies \: y =  \frac{1}{5}

Substitute into the first equation to solve for x .

\frac{1}{2} x -  \frac{3}{4}  \times \frac{1}{5} =  \frac{11}{60}

Multiply to obtain

\frac{1}{2} x -  \frac{3}{20} =  \frac{11}{60}

\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}

\frac{1}{2} x = \frac{1}{3}

Multiply both sides by 2.

2 \times \frac{1}{2} x =2 \times  \frac{1}{3}

x = \frac{2}{3}

The solution is

( \frac{2}{3} , \frac{1}{5} )

5 0
2 years ago
Read 2 more answers
Other questions:
  • How would I solve this?
    7·1 answer
  • A certain class has 24 students. Which of the following could NOT be the ratio of boys to girls?
    9·2 answers
  • Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the fol
    6·1 answer
  • Find the exact value of the 8th term of the geometric sequence: 648,216,72,24?
    15·1 answer
  • Last week, 17 employees exceeded their sales quota, 13 employees met their sales quota, and 3 employees didn't meet their sales
    12·1 answer
  • If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number
    9·1 answer
  • The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm
    9·1 answer
  • -8+-8(6n)+-8(1)<br> (Please help I need to get an 100% on the assignment I’m doing)
    11·1 answer
  • What is the answer to -3x = 4.2 ?
    5·1 answer
  • Write an equation in slope intercept form for the graph of the line.​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!