Question

The slope of the line below is -2. Use the coordinates of the labeled point to

find a point-slope equation of the line.

Answer 1

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

Explanation:

Given:

Slope (m) = -2

Point on the line = (4, -6)

Required:

Point-slope equation of the line

Solution:

Point-slope equation takes the following form:

`y - b = m(x - a)`,

Where,

m = slope of the line = -2

(a, b) = coordinates of the point on the line. = (4, -6)

Plug in the values into the slope-point equation

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

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