Question

Line AB contains points A(4,5) and B(9,7). what is the slope of AB?

Answer 1

`(2)/(5)`

Explanation:

Slope is the ratio of change in y direction to change in x direction that is
`slope=\frac {\triangle y}{\triangle x}`

Using the co-ordinate system, change in x is 9-4=5 points

change in y=7-5=2 points

`Slope=\frac {2}{5}`

Note that since slope is a ratio, it doesn't have units

Therefore, the slope is
`(2)/(5)` or 0.4 when expressed as a decimal or 40% when expressed as a percentage