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

Part 1)
`m=0`

Part 2) The slope is undefined

Explanation:

we know that

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

`m=(y2-y1)/(x2-x1)`

Part 1

we have

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

Substitute the values

`m=(-5+5)/(8+2)`

`m=(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=(-7-9)/(4-4)`

`m=(-16)/(0)` ----> is a vertical line (parallel to y-axis)

The slope is undefined