what is the slope of the line that passes through the points (-1,1) and (-1,4)? write your answer in…

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $(x_1,y_1)=(-1,1)$ and $(x_2,y_2)=(-1,4)$.

Step2: Substitute values into formula

$m=\frac{4 - 1}{-1-(-1)}=\frac{3}{-1 + 1}=\frac{3}{0}$

Step3: Determine slope nature

Since division by zero is undefined, the slope of the line is undefined.

Answer:

Undefined