Question

Write an equation for the line parallel to the given line that contains C. C(4,7); y = - 2x + 1 (Type your answer in slope-intercept form.)

Answer 1

Let's begin by listing out the given information:

Equation of line: y = -2x + 1

Point C (x, y) = (4, 7)

$y=-2x+1\Rightarrow m=-2$

Parallel lines have the same slope. As such, the slope of the parallel line must also be -2

Using point slope equation of a straight line, we have:

$\begin{gathered} y-y_1=-2\left(x-x_1\right) \\ at(x,y)=(4,7) \\ y-7=-2(x-4) \\ y-7=-2x+8 \\ y=-2x+8+7 \\ y=-2x+15 \end{gathered}$