1. The Point-Slope Form of the Equation of a Line
Chapter 2 Section 5
The Point-Slope Form of the Equation of a Line

2. Point-Slope Form
Nonvertical line with slope, m, that passes through the point ( 𝑥 1 , 𝑦 1 )
𝑦 − 𝑦 1 =𝑚(𝑥− 𝑥 1 )

3. Find Slope and a point on the line. y – 5 = 7(x – 4)

4. Write the equation of a line
Point-Slope Form and Slope-Intercept Form a) Slope = 4 passing through (3, 1) b) Passing through (1, 3) and (2, 4) c) Passing through (- 4, 5) with x-intercept of 3

5. Parallel Lines What do you know about parallel lines?
What about the slopes?

6. Perpendicular lines
Two lines are perpendicular of the product of their slopes is -1
To find the slope of a perpendicular line, take the slope of the line and find the negative reciprocal.

7. Parallel, Perpendicular
If the slope of a line is 2 5
The slope of the parallel line is:
The slope of the perpendicular line is:

8. Find the slope of a line parallel and perpendicular to
d) 4x + y = 11

9. Write the equation of a line
Parallel and perpendicular to d) 3x + 2y = 6 e) y = -

10. Summary Write an equation in point-slope form
Write an equation in standard form
Find slopes of parallel and perpendicular lines
Write equations of a line that are parallel and perpendicular to a given line