Question

Complete the equation for the linear function whose graph contains the points

(9, 7) and (4, –8).

Answer 1

y-7=3(x-9) or it could be y=3x-20

Answer 2

`\boxed{\boxed{y-7=3(x-9)}}`

Explanation:

The given points are
`(9, 7),(4, -8)`

We can get the line equation passing through these points by applying point slope formula.

The slope of the line joining these two points would be,

`=(y_2-y_1)/(x_2-x_1)`

`=(-8-7)/(4-9)`

`=(-15)/(-5)`

`=3`

The general point slope form of straight line is,

`y-y_1=m(x-x_1)`

Putting the slope as 3 and the point as (9, 7),

`y-7=3(x-9)`