Question

Find the slope of the line on the graph. Write your answer as a fraction or a whole number

Answer 1

`(-2)/(3)`

Explanation:

If you go to point (0,1) and then go up 2 units and left 3 units, you will be at the point (-3,3) on the line. Up is positive and left is negative, so the slope is
`(2)/(-3)` which is the same as
`(-2)/(3)`

If we did not have a graph and were given two points on the line, we could figure out the slope. Use the points (0,1) and (-3,3) The slope is the steepness of the line. We can find it by the change in y over the change in x. To find the change we subtract.

The y values are 3 and 1 (0,1) (-3,3).

The x values are -3,0 (0,1) (-3,3)

`(3-1)/(-3-0)` =
`(2)/(-3)`

Helping in the name of Jesus.