Question

If the graph of the equation y = mx + b is a line passing through the points (6, 13) and (10, 31), what is the value of m? Express your answer as a common fraction.

Answer 1

`(9)/(2)`

Explanation:

The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.

Slope is rise over run. We are given the points of (6, 13) and (10, 31).

`m=(rise)/(run)=(31-13)/(10-6) =(18)/(4) =\huge\boxed{(9)/(2)}`

The slope, or 'm' should be
`(9)/(2)`.