Question

Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

Answer 1

$\huge{\boxed{\text{A.}\ y=-2x+7}}$

Point-slope form is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

In the given line, the slope is $-2$. Parallel lines share the same slope, so the answer must have a slope of $-2$ as well.

Point-slope form is $y-y_1=m(x-x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a known point on the line.

Substitute in the values, where $m=-2$ and $(x_1, y_1)=(3, 1)$. $y-1=-2(x-3)$

Distribute the $-2$ to the $(x-3)$. $y-1=-2x+6$

Add $1$ on each side. $\boxed{y=-2x+7}$