Question

Can Someone Please Help Me With This Question. I'll post a picture of the question ​

Answer 1

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

Explanation:

The form of equation of line given in the problem is the point-slope form of a line. That is given by:

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

We need
`y_1` and m (denoted by boxes)

`y_1` is the y coordinate of the first set of points.

The first coordinate pair is (9,7), so
`y_1` would be 7

`y_1=7`

Now, the slope (m).

It has formula

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

So, x_1 = 9

y_1 = 7

x_2 = 4

y_2 = -8

Substituting, we get the slope to be:

`m=(y_2-y_1)/(x_2-x_1)\\m=(-8-7)/(4-9)\\m=(-15)/(-5)\\m=3`

Hence, the equation of the line in point-slope is:

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