How to Write an Equation in Point-Slope Form Given a Point and Slope?

To write the equation of a line in point-slope form, you can use the formula:

y – y₁ = m(x – x₁)

Here, (x₁, y₁) is a point on the line, and m is the slope of the line.

In our case, we have the point (4, 4) and the slope m = 4. We can substitute these values into the formula:

y – 4 = 4(x – 4)

This is the equation of the line in point-slope form.

You can also simplify this equation if needed, but point-slope form is particularly useful for quickly identifying the slope and a point on the line.