1. The point-slope form of a linear equation of a non- vertical line is given by: Point-Slope Form of a Linear Equation

2. Example 1:Write the point-slope form equation of the line that contains the point (3, -5) and has slope Substitute values into the equation … Slope:

3. Simplify: Point:

4. Example 2:Write the slope-intercept equation of the line that contains the point (- 2, 5) and has slope First, substitute the given point and slope values into the point-slope equation. Simplify

5. Next, put in slope-intercept form, Multiply each term by the common denominator …

6. Simplify and solve for y

7. Example 3:Write the slope-intercept equation of the line that contains the points (- 1, 8) and (4, - 2). First, find the slope of the line using the given points.

8. Next, substitute either given point (let’s use (- 1, 8)) and the slope, - 2, into the point-slope equation. Last, simplify and write in slope-intercept form.