Algebra Lesson 2.6: Point-Slope Form

Practice Exercises

Write the equation of the line with the given point and slope in point-slope form. Then rewrite the equation in slope-intercept form:

1. \((x_1,y_1) = (2,3)\) and \(m=2\)

2. \((x_1,y_1) = (-1,4)\) and \(m = \frac{1}{2}\)

3. \((x_1,y_1) = (4,0)\) and \(m = 0\)

4. \((x_1,y_1) = (0,-1)\) and \(m = -5\)

Use the following graph to answer questions 5-10

5. Use the graph to find the slope of the blue line (review slope).

6. Find the coordinates of the red dot.

7. Use your answers to Exercises 5 and 6 to write the equation of the blue line in point-slope form. Rewrite the equation in slope-intercept form.

8. Find the coordinates of the green dot.

9. Use your answers to Exercises 5 and 7 to write the equation of the blue line in point-slope form. Rewrite the equation in slope-intercept form.

10. What do you notice about the answers to Exercises 7 and 9? Is this what you would expect to happen?