Question

fill in the blanks below.
(a) find the slope of the line passing through the points (4, -7) and (4, 4).
slope:
(b) find the slope of the line passing through the points (-7, 9) and (-7, -9).
slope:

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Solve part (a)

For points $(4,-7)$ and $(4,4)$, $x_1 = 4,y_1=-7,x_2 = 4,y_2 = 4$. Then $m=\frac{4-(-7)}{4 - 4}=\frac{11}{0}$. Division by zero is undefined.

Step3: Solve part (b)

For points $(-7,9)$ and $(-7,-9)$, $x_1=-7,y_1 = 9,x_2=-7,y_2=-9$. Then $m=\frac{-9 - 9}{-7-(-7)}=\frac{-18}{0}$. Division by zero is undefined.

Answer:

(a) Undefined
(b) Undefined