1. Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Finding Slope-Intercept Form

2. Example 1:Write the slope-intercept equation of the line that contains the point (0 -5) and has slope Substitute values into the equation … Note that the point (0 -5) is the y-intercept, so b = - 5.

3. Example 2:Write the slope-intercept equation of the line that contains the points (- 3, 8) and (0, - 2). Now, find the slope of the line using the given points. Note that the point (0 -2) is the y-intercept, so b = - 2.

4. Substitute values into the equation …

5. Example 3:Write the slope-intercept equation of the line that contains the point (- 2, 5) and has slope m = - 4 Write the equation using the value given for the slope. Note that the point (-2,5) is not the y-intercept, so we will need a different approach this time.

6. Now use the point to substitute values in for x and y. Substitute for b in the above equation to get …