How to Write an Equation in Point-Slope Form for a Line?

To write an equation in point-slope form, you need a specific point on the line and the slope of the line. The point-slope form of a linear equation is given by the formula:

y – y₁ = m(x – x₁)

Where:

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

Let’s say you have a point (2, 3) and a slope of 4. Plugging these values into the formula gives:

y – 3 = 4(x – 2)

This equation represents the line that passes through the point (2, 3) with a slope of 4. To create your own equation, simply substitute your specific point and slope into the formula. Remember, the point-slope form is particularly useful when you know a point and the slope, enabling you to quickly express the line’s equation!