what is an equation of the line that passes through the points (-2,5) and (-2,-8)?
what is an equation of the line that passes through the points (-2,5) and (-2,-8)?
Answer
Explanation:
Step1: Calculate the slope
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For the points $(-2,5)$ and $(-2,-8)$, $x_1=-2,y_1 = 5,x_2=-2,y_2=-8$. Then $m=\frac{-8 - 5}{-2-(-2)}=\frac{-13}{0}$, which is undefined. This indicates a vertical line.
Step2: Determine the equation of the line
A vertical line passing through the point $(x_0,y_0)$ has the equation $x = x_0$. Since both points have $x=-2$, the equation of the line is $x=-2$.
Answer:
$x=-2$