1. Writing Linear Equations Given Two Points
Section 5.3
Writing Linear Equations Given Two Points

2. 5.3 – Example 1: Writing an Equation Given Two Points
Write an equation of the line that passes through the points (1, 6) and (3, -4)
Find the slope of the line.
𝑚= 𝑦 2 − 𝑦 1 𝑥 2− 𝑥 1 = −4−6 3 −1 =− 10 2 =−5

3. 5.3 – Example 1: Writing an Equation Given Two Points
Write an equation of the line that passes through the points (1, 6) and (3, -4)
Find the slope of the line. (m = -5)
Find the y-intercept.
Write the slope-intercept form. 𝑦=𝑚𝑥+𝑏
Substitute in the slope you found above. 𝑦=𝟓𝑥+𝑏
Substitute in the (x, y) of one given point (use either (1, 6) or (3, -4) in this case. 𝟔=5 𝟏 +𝑏
Solve for b 6=5 1 +𝑏 6=5+𝑏 −5 −5 1=𝑏

4. 5.3 – Example 1: Writing an Equation Given Two Points
Write an equation of the line that passes through the points (1, 6) and (3, -4)
Find the slope of the line. (m = -5)
Find the y-intercept. (b = 1)
Write an equation of the line
𝑦= 𝑚𝑥+𝑏
𝑦=−5𝑥+11

5. 5.3 – Now You Try! #1
Write an equation in slope-intercept form of the line that passes through the points a. (2, 3), (4, 3) b. (-8, 9), (10, -3)

6. 5.3 – Example 2: Write an equation given two function values

7. 5.3 – Example 2: Write an equation given two function values

8. 5.3 – Now You Try! #2

9. 5.3 – Example 3: Writing Equations of Parallel and Perpendicular Lines

10. 5.3 – Example 3: Writing Equations of Parallel and Perpendicular Lines

11. 5.3 – Example 3: Writing Equations of Parallel and Perpendicular Lines

12. 5.3 – Now You Try! #3

13. 5.3 – Example 4: Writing Equations of Parallel and Perpendicular Lines

14. 5.3 – Example 4: Writing Equations of Parallel and Perpendicular Lines

15. 5.3 – Example 4: Writing Equations of Parallel and Perpendicular Lines

16. 5.3 – Now You Try! #4