Write an Equation in Point-Slope Form of the Line through Point (4, -4) with Slope m = 4.

Solution:

Let us use the concept of the Point-Slope Form of a line to find the answer.

Given that, (x₁, y₁) = (4, -4) and m = 4 

The point-slope formula states (y - y₁) = m (x - x₁)

Substituting the values (y + 4) = 4(x - 4)

y + 4 = 4x - 16

4x - y = 20

We will use Cuemath's Point-Slope Form Calculator to verify the answer.

Hence, The equation in the point-slope form of the line passing through (4, -4) with slope, m = 4 is 4x - y = 20

Write an Equation in Point-Slope Form of the Line through Point (4, -4) with Slope m = 4.

Summary:

The equation in point-slope form of the line passing through (4, -4) with slope, m = 4 is 4x - y = 20.