Write an equation in the point-slope form of the line through point j(4, -4) with slope 4.

Solution:

Given, the point j is (4, -4)

The slope, m = 4.

We have to write an equation in the point-slope form 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) = (4, -4) and m = 4.

\(\\(y-(-4))=4(x-4)\\(y+4)=4(x-4)\)

Therefore, the equation in the point-slope form of the line is (y + 4) = 4(x - 4).

Write an equation in the point-slope form of the line through point j(4, -4) with slope 4.

Summary:

An equation in the point-slope form of the line through point j(4, -4) with slope 4 is (y + 4) = 4(x - 4).