Question

Please help me with this math problem.

Answer 1

`y+1=(4)/(3) \,(x-9)\\`

Explanation:

The point-slope form of a line uses explicitly the coordinates
`(x_1,y_1)`of a point it goes through, and the slope "m" the line has, in the form:

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

So, in this case, they give you the point (9,-1) which means that
`x_1=9`, and
`y_1=-1`, while the slope
`m=(4)/(3)`

Therefore, making use of the general form given above, we replace the general form parameters with the given values:

`y-y_1=m\,(x-x_1)\\y-(-1)=(4)/(3) \,(x-9)\\y+1=(4)/(3) \,(x-9)`