Question

The slope of the line below is - Write a point-slope equation of the line

using the coordinates of the labeled point.

Answer 1

`y +9 = -4(x - 4)`

Explanation:

Given

`m = -4` --- slope

`(x_1,y_1) = (4,-9)` --- point

See attachment for complete question

Required

Determine the line equation

This is calculated as follows:

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

Substitute values for m, x1 and y1

`y - (-9) = -4(x - 4)`

Simplify the expression on the left-hand side:

`y +9 = -4(x - 4)`