Question

question 11 find the equation of a line containing the following points. write the equation in slope - intercept form. (-1,1) and (-1,-2)

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(x_1,y_1)=(-1,1)$ and $(x_2,y_2)=(-1,-2)$:
$m=\frac{-2-1}{-1-(-1)}=\frac{-3}{0}$
This slope is undefined, meaning the line is vertical.

Step2: Identify vertical line equation

Vertical lines have the form $x=a$, where $a$ is the x-coordinate of all points on the line. Both points have $x=-1$.

Answer:

$x=-1$