Question

Find the rate of change for a linear function that passes through the points (-5, 1) and (1, 10).

Answer 1

The slope of the function for rise/run would be 3/2, this is because;
The function passes through (-5,1) and (1,10). Lets find the change on the y and x axis.
For the x axis;
-5 to 1.
That is a change of positive 6.
-5+6=1
For the y axis;
1 to 10.
That is a change of positive 9.
1+9=10
For the slope we must put rise (change in y axis) over run (change in x axis) to get 3/2 when simplified from 9/6.
For every 2 units of rise in the x axis the y axis rises by 3.