Question

Find an equation whose line is perpendicular

Answer 1

$\huge{\boxed{y=\frac{1}{2} x+1}}$

First, we must find the slope of the graphed line. We can use the formula $\frac{y_2-y_1}{x_2-x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are known points on the line.

Plug in the values. $\frac{4-2}{-1-0}$

Subtract. $\frac{2}{-1}$

Simplify. $-2$

To find the slope of the perpendicular line, we must find the opposite inverse slope. This means we first need to multiply it by $-1$, then we need to swap the numerator and denominator.

$-2*-1=2$

Now, swap the numerator and denominator. The numerator is $2$, and the denominator is $1$ by default.

$\frac{1}{2}$

The only answer choice with a slope of $\frac{1}{2}$ is $\boxed{y=\frac{1}{2} x+1}$