what is an equation of the line that passes through the points (3,5) and (3, - 8)?
what is an equation of the line that passes through the points (3,5) and (3, - 8)?
Answer
Explanation:
Step1: Calculate the slope
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For the points $(3,5)$ and $(3, - 8)$, $x_1 = 3,y_1 = 5,x_2 = 3,y_2=-8$. Then $m=\frac{-8 - 5}{3 - 3}=\frac{-13}{0}$, 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 $x -$coordinate equal to 3, the equation of the line is $x = 3$.
Answer:
$x = 3$