Question

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Find the equation of the line in slope intercept form

Answer 1

y = x+2

Explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

Substitute numbers

Slope =
`(4-(-2))/(2-(-4))`

Two negatives = one positive

Simplify

`Slope = (4+2)/(2+4)=(6)/(6)=1`

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)