Answer:
y = x - 6
y = x - 2
Step-by-step explanation:
In order to find the equation for each line, we have to first find the slope.
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
m = [tex]\frac{7-6}{1-0}[/tex]
m = [tex]\frac{1}{1}[/tex] = 1
Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.
y = m(x - b)
6 = 1(0 - b)
6 = -b
b = -6
After finding b, plug everything into the equation.
y = m(x - b)
y = x - 6
m = [tex]\frac{0-(-6)}{2-(-4)}[/tex]
m = [tex]\frac{6}{6}[/tex] = 1
Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.
y = m(x - b)
0 = 1(2 - b)
0 = 2 - b
-2 = -b
b = 2
After finding b, plug everything into the equation.
y = m(x - b)
y = x - 2
hope it helps :)
mark brainliest!!! (put in a lot of effort and time!)