Determine the equation of the line with slope -2 that passes through the point m(-1, -3).

Solution:

Given, slope, m = -2

Point m(-1, -3).

We have to find the equation of the line.

The equation of the point-slope form of the line is given by

\((y-y_{1})=m(x-x_{1})\)

Here, (x₁, y₁) = (-1, -3) and m = -2.

\(\\(y-(-3))=-2(x-(-1))\\(y+3)=-2(x+1)\)

Therefore, the equation in the point-slope form of the line is (y + 3) = -2(x + 1).

Determine the equation of the line with slope -2 that passes through the point m(-1, -3).

Summary:

The equation of the line through point m(-1, -3) with slope -2 is (y + 3) = -2(x + 1).