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

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

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

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

5.3 – 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)

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

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

5.3 – Now You Try! #2

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

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

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

5.3 – Now You Try! #3

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

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

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

5.3 – Now You Try! #4