2. WARM UP 4

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7. 0 YOU’RE CERTIFIED!

8. 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint In class assignment/homework In class assignment/homework Goal Write an equation of a line given two points on the line. Key Words Slope Slope-intercept form Point-slope form

9. 5.3 Writing Linear Equations Given Two Points EXAMPLE 1 Use a graph Solution 1 Find the slope. (0, 2) (-4, 5) m = y 2 – y 1 x 2 - x 1

10. 5.3 Writing Linear Equations Given Two Points EXAMPLE 1 Use a graph Solution 2 Write the equation of the line. From the graph you can see the y- intercept is b = 2. Use slope-intercept form. y = mx + b (0, 2) (-4, 5)

11. 5.3 Writing Linear Equations Given Two Points Additional examples: Write the equation of the line in slope-intercept form. (0, 3)(4, 5) (2, -3) (1, 2)

12. 5.3 Writing Linear Equations Given Two Points EXAMPLE 2 Write an Equation of a Line Given Two Points Write in slope-intercept form the equation of the line that passes through the points (3, -2) and (6, 0). 1 Find the slope. y 2 – y 1 x 2 - x 1 m =

13. 5.3 Writing Linear Equations Given Two Points EXAMPLE 2 Write an Equation of a Line Given Two Points Write in slope-intercept form the equation of the line that passes through the points (3, -2) and (6, 0). 2 Write the equation of the line. Use point-slope form, because you do not know the y-intercept. y – y 1 = m(x – x 1 )

14. 5.3 Writing Linear Equations Given Two Points (3, -2) (6, 0)

15. 5.3 Writing Linear Equations Given Two Points Additional examples: Write in slope-intercept form the equation of the line that passes through the given points. 1.(2, 3) and (4, 7) 2.(-4, 5) and (2, 2) 3.(1, -1) and (4, -4)

16. 5.3 Writing Linear Equations Given Two Points YOUR TURN Page 288 #s 3 - 23