Question

Linear equation that passes through the points of (0,5) and (-5,1)

Answer 1

y = 4/5 x + 5

Explanation:

Slope

Change in y over the change in x

`(1-5)/(-5-0)` =
`(-4)/(-5)` =
`(4)/(5)`

The slope is
`(4)/(5)`

The y-intercept is 5. It comes from the point (0,5).

Answer 2

Given the problem: Linear equation that passes through the points of (0,5) and (-5,1).

First, whenever you are asked to find a linear equation that passes through two points, remember its going to be slope intercept equation, or y=mx+b. m is the slope, b is the y-intercept.

The y-intercept is where the line crosses the y-axis. The slope can be written as rise/run. Rise and run right is positive, drop and run left is negative.

So in this case, looking at the first point: (0,5), we can see that the y-intercept is 5. Now let's find the slope. We will start at (-5,1) and go to (0,5). Count how many units we rise/drop and how many units we run. Rise 4, run right 5. So the slope is 4/5. Now put all the information into y=mx+b.

Your answer is y=4/5x+5