Question

Find the slope of (-2,-5) and (8,-5) And find the slope of the line passing through the points (4,9) and (4,-7)

Answer 1

Answer:

Part 1) $m=0$

Part 2) The slope is undefined

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1

we have

$A(-2,-5)\ B(8,-5)$

Substitute the values

$m=\frac{-5+5}{8+2}$

$m=\frac{0}{10}$

$m=0$  ----> is a horizontal line (parallel to x-axis)

Part 2

we have

$A(4,9)\ B(4,-7)$

Substitute the values

$m=\frac{-7-9}{4-4}$

$m=\frac{-16}{0}$   ----> is a vertical line (parallel to y-axis)

The slope is undefined