Question

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

Answer 1

Answer:

Three ways to find the slope of a line: You may have two points #(x_1,y_1)# and #(x_2,y_2)# (often one or both of these points may be intercepts of the #x# and/or #y# axes). The slope is given by the equation. #m=(y_2-y_1)/(x_2-x_1)#. You may have a linear equation that is either in the form or can be manipulated into the form. #y = mx + b#.

Step-by-step explanation:

Answer 2

Answer:

m=undefined

Step-by-step explanation:

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

$m= \frac{y_2-y_1}{x_2-x_1}$

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.

$m= \frac{ 0-3}{-1--1}$

Solve the numerator.

• 0-3 = -3

$m= \frac{-3}{-1--1}$

Solve the denominator.

• -1--1= -1+1=0

$m=\frac{3}{0}$

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.