Question

A line contains the points (1, 4) and (5,12). Enter values in the boxes to show how to calculate the slope. Enter the value of the slope in simplest form.

Answer 1

Hello!

To find the slope of a line, you divide the difference in y-values by the difference in the x-values as shown below.

`(12-4)/(5-1) =(8)/(4) = 2`

Therefore, your slope is 2.

I hope this helps!

Answer 2

The slope formula equation is:

`(y_(1)-y_(2))/(x_(1)-x_(2))`

Given the two sets of coordinates (1,4) and (5,12), we can plug in these coordinates for the x and y values in the equation:

`(4-12)/(1-5)`

This can be simplified:

`(-8)/(-4)=(8)/(4)=(2)/(1)=2`

The slope is 2.

I hope this helps ;)