Question

What is the slope of the line graphed on the coordinate plane?

Answer 1

Answer: 3/4

Explanation:

Answer 2

Slope formula:
`m = (y2 - y1)/(x2 - x1)` or
`(rise)/(run)`

Coordinates given: (2, 6), (-2, 3)

Substitute for x and y in the formula: (2, 6) for (x1, y1) and (-2, 3) for (x2, y2)

slope of the line:
`m = (3 - 6)/(-2 - 2) = (-3)/(-4) = (3)/(4)`

Your slope =
`(3)/(4)`

Another way to find the slope is by finding the
`(rise)/(run)`

(Check the attached picture)

If you notice in the picture, the
`(rise)/(run)` is equal to the slope we just found; however, this is a simpler way to find the slope.

The rise is 3 and the run is 4, you use any two points on the line, let's take (2, 6), (-2, 3), for example. At (-2, 3), you rise 3 points until you reach horizontal line on the graph where the coordinates (2, 6) are plotted, then you run 4 points until you reach (2, 6).