Question

Question #712cc

Answer 1

See below

Explanation:

The slope of a line, `m`, is equal to:

`m=(y_2-y_1)/(x_2-x_1)`

where `(x_1,y_1)` and `(x_2,y_2)` are two points on the line.

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

`m=-7/0` which is undefined. That simply means that the line that passes through these two points is vertical . Specifically, the line is:

`x=5`

Answer 2

The slope is undefined, or infinite.

Explanation:

Slope is found by `( y_1-y_2)/(x_1-x_2) = m` putting the values in gives

Slope = `{5 - (-2) }/( 5-5) = m`

Slope = `7/0 = m`

Dividing by zero results in an infinite or undefined quality.

the slope of this line is straight up and has no defined mathematical value.

Slope = undefined

Answer 3

The slope is infinite or undefined.

Explanation:

We can answer this question by inspection, without having to use any formulae or calculations.

The given points both have the same `x`-values.

`(color(magenta)(5),5) and (color(magenta)(5),-2)`

On a graph this means that one point will lie directly above the other, meaning they will be joined by a VERTICAL line.

The slope of a vertical line is infinite or undefined.