Question

What is the point slope of the line when slope is -4 and the given coordinates are (4,-9)

Answer 1

The point-slope form of the equation of a straight line is:

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

We have:

`m=-4\\(4;-9)\to x_1=4;\ y_1=-9`

Substitute:

`y-(-9)=-4(x-4)\\\\\boxed{y+9=-4(x-4)}`