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 = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Substitute numbers
Slope = [tex]\frac{4-(-2)}{2-(-4)}[/tex]
Two negatives = one positive
Simplify
[tex]Slope = \frac{4+2}{2+4}=\frac{6}{6}=1[/tex]
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 :)
