Question

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

Answer 1

Answer:

y = x+2

Step-by-step 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 = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute numbers

Slope = $\frac{4-(-2)}{2-(-4)}$

Two negatives = one positive

Simplify

$Slope = \frac{4+2}{2+4}=\frac{6}{6}=1$

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 :)