1. Lesson 5-5 Writing Equations in Point-Slope Form

2. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

3. Transparency 5a

4. Objectives Write the equation in a line in point-slope form Write linear equations in different forms

5. Vocabulary Point-slope form - an equation of the form y – y 1 = m(x – x 1 ), where m is the slope and (x 1,y 1 ) is a given point on a nonvertical line

6. y x y x x-y Coordinate Plane Quadrants III IIIIV Point Plotting (x, y) (-4, 7) (5, -8) x – left or right y – up or down right 5 down 8 left 4 up 7

7. Example 1 Write the point-slope form of an equation for a line that passes through (–2, 0) with slope Point-slope form Simplify. Answer:The equation is

8. Example 2 Write the point-slope form of an equation for a horizontal line that passes through (0, 5). Point-slope form Simplify. Answer:The equation is

9. Example 3 Writein standard form. In standard form, the variables are on the left side of the equation. A, B, and C are all integers. Original equation Multiply each side by 4 to eliminate the fraction. Distributive Property Subtract 3x from each side. Simplify. Answer:The standard form of the equation is

10. Example 4 Writein slope-intercept form. In slope-intercept form is y = m x + b. Original equationDistributive Property Add 5 to each side. Simplify and slope intercept form. Answer:

11. Summary & Homework Summary: –The linear equation y – y 1 = m(x - x 1 ) is written in point-slope form, where (x 1,y 1 ) is the given point on a nonvertical line and m is the slope Homework: –pg 289 16-26, 30-34, 42-48 even