Answer:
y = 2x + 4
Step-by-step explanation:
To write the equation of line p, use the end points of AB in the slope formula. Since line p is parallel to AB, this will be the same slope.
[tex]m = \frac{y_2 -y_1}{x_2-x_1} = \frac{2--2}{1--1} =\frac{4}{2} = 2[/tex]
Substitute m = 2 and the point C at (-2,0) into the point slope form of the line. Simplify to find the equation.
[tex]y - y_1 = m(x-x_1)\\y - 0 = 2(x--2)\\y = 2(x+2)\\y = 2x + 4[/tex]
