Question

The slope of the line below is -2. Write the point-slope equation of the line

using the coordinates of the labeled point.

Answer 1

`y+6=-2(x-4)`

Explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

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

Where (m) represents the slope, (
`x_1`) and (
`y_1`) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

`(y-(-6))=-2(x-4)`

`y+6=-2(x-4)`