Question

Find the slope of the line using the slope formula.
(-1 , 3 ) and ( -1, 0)

Answer 1

m=undefined

Explanation:

The slope tells us the steepness and direction of a line. It is the change in y over the change in x.

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points we are given are (-1, 3) and (-1, 0). If we match the number with the corresponding variable we see that:

• x₁ = -1
• y₁= 3
• x₂= -1
• y₂ = 0

Substitute the values into the formula.

`m= ( 0-3)/(-1--1)`

Solve the numerator.

• 0-3 = -3

`m= (-3)/(-1--1)`

Solve the denominator.

• -1--1= -1+1=0

`m=(3)/(0)`

Since we cannot divide a number by 0, the slope is undefined. Basically, this is a vertical line and all the points have the same x-coordinate.