Question

What is the slope of a line that contains points (4,4) and (1,-2)?

Answer 1

2

Explanation:

The slope is equal to rise over run, this is the the change in y over the change in x. This is the slope formula:
`(y_(2) - y_(1))/(x_(2) - x_(1))`

In this case it would look like this:
`(-2 - 4)/(1 - 4)` = -6/-3 = 2

Answer 2

y = 2x - 4

Explanation:

First, find the gradient of the line, which is the change in y divided by the change in x. You would get 2. Then, you substitute 2 into your slope equation to get y = 2x + c (c is commonly b in America, but in England we tend to use c instead). Then, substitute the coordinate (4,4) into the equation, and after solving for c, you would get -4.

Therefore, your final answer for the slope would be y = 2x-4