Write an equation of the line that passes through the given points. (-2,8) and (1,2) (Write answer in slope-intercept form.)

Question

asked Oct 22, 2019 37.0k views

2 Answers

Dbrumann · Answer 1 · 2019-10-27T18:50:26+0000

The slope-intercept form of the line that passes through the points (-2,8) and (1,2) is y=-2x+4

Explanation:

Given:

Points(x,y)= )= (-2,8)

Points(x1,y1)= (1,2)

To find:

Equation in slope-intercept form=?

Solution:

The slope intercept form of a line is y= mx + b

Where m= the slope

STEP 1: Finding the slope value

$\bold{\text { slope } =(y-y 1)/(x-x 1)}$

Substituting the points in the formula we get,

$\text {slope, } \quad m=(2-8)/(1-(-2))$

$\text {slope, } \quad m=(-6)/(3)$

$\text { slope, } \quad m=-2$

STEP 2: Finding the value of b

Substituting the slope value in the equation we have

y=mx+b,

y= -2(x)+b

y= -2(x) + b

substituting x and y from the points given,

8=-2(-2) + b

8=4+b

8-4=b

b =4

STEP 3: Formation of slope intercept equation

Substituting b and m in the equation of slope we get,

y= mx + b

y= -2x+4.