Question

What is the slope of the line that passes through the points (-4, -2)and (−4,−22)? Write your answer in simplest form.

Answer 1

• Undefined (
  `\infty`)

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

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

Here:

• x1 = -4
• x2 = -4
• y1 = -2
• y2 = -22

Plugging these values:

`m = ( - 22 - ( - 2))/( - 4 - ( - 4))`

This can be written as:

`m = ( - 22 + 2)/( - 4 + 4)`

`m = ( - 20)/(0) = \infty`

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

Answer 2

Explanation:

The slope of a line given two points can be found by using the formula

`m = ( y_2 - y _ 1)/(x_ 2 - x_ 1) \\`

From the question we have

`m = ( - 22 - - 2)/( - 4 - - 4) = ( - 22 + 2)/( - 4 + 4) = - (20)/(0) \\`

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you