1. 3.3: Point-Slope Form

2. Point-Slope Form of a Line
𝑦− 𝑦 1 =𝑚(𝑥− 𝑥 1 )
Slope
Point ( 𝑥 1 , 𝑦 1 )

3. Example 1
Write the equation of the line in point-slope form that passes through (-1, 5) with a slope of -3.

4. Example 2
Passes through: (7, -4) Slope: -3/4

5. Example 3
Horizontal line that passes through (6, -2)

7. When given two coordinates…
Find the slope →m= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1
Substitute the first point and the slope into Point-Slope Form →𝑦− 𝑦 1 =𝑚(𝑥− 𝑥 1 )

8. Example 4
Write the equation of the line passing through (0, 6) and (7, 2).

9. Example 5
(2, 3) and (3, 9)

10. Example 6
(4, -10) and (-2, 5)

11. Example 7
x-intercept: -6
y-intercept: 5