Question

coordinate geometry. use the graph to answer the questions. fill in the blank 1 point. the slope of the perpendicular line is

Explanation:

Step1: Find the slope of the given line

Let's take two points on the given line, say $(- 8,1)$ and $(0,-3)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m_1=\frac{-3 - 1}{0+8}=\frac{-4}{8}=-\frac{1}{2}$.

Step2: Use the perpendicular - slope relationship

If two lines are perpendicular, the product of their slopes is $- 1$, i.e., $m_1\times m_2=-1$. Given $m_1 =-\frac{1}{2}$, we can solve for $m_2$: $-\frac{1}{2}\times m_2=-1$. Then $m_2 = 2$.

Answer:

$2$