This document discusses point-slope form for writing the equation of a line given a point and slope. It provides examples of writing equations of lines using point-slope form, including lines with a given slope that pass through a point, lines that pass through two given points, lines parallel or perpendicular to another line that pass through a given point, and converting an equation in point-slope form to slope-intercept form. Exercises are provided from page 256 problems 3 through 20.

1. Ch6.3_PointSlopeForm.notebook December 05, 2011
What is the equation of
the line shown below?
y = mx + b
A) y = ­5x ­ 5
B) y = 3x ­ 5
C) y = 5x + 5
D) y = ­3x ­ 5

2. Ch6.3_PointSlopeForm.notebook December 05, 2011
Chapter 6.3
Point ­ Slope Form

3. Ch6.3_PointSlopeForm.notebook December 05, 2011
Write the equation of the following
lines in slope­intercept form
m = ­3, b = 6 m = 0, b = 2
m = 2
Passes through (3,4)

4. Ch6.3_PointSlopeForm.notebook December 05, 2011
Point ­ Slope Form
only needs slope and a point
to write the equation of the line
Slope: m
Point: (x1 , y1)
y ­ y1 = m(x ­ x1)
Example
Write the EQ of a line with slope = ­4
that goes through (1.5 , ­3)
Point:
Slope:
Write the EQ of a line with slope = .5
that goes through (­2 , 0)
Point:
Slope:
Write the EQ of a line
that goes through (­1 , 3) and (0 , 4)
Point:
Slope:

5. Ch6.3_PointSlopeForm.notebook December 05, 2011
y ­ y1 = m(x ­ x1)
Write the EQ of a line
parallel to y ­ 2x = 3
that goes through (1 , 2)
Write the EQ of a line
perpendicular to 4x + 2y = 6
that goes through (2, ­7)
Write the following equation
in slope­intercept form.
y + 2 = 5(x ­ 3)

6. Ch6.3_PointSlopeForm.notebook December 05, 2011
RECAP
Slope­Intercept Form y = mx + b
Point ­ Slope Form y ­ y1 = m(x ­ x1)
Page 256
#3 ­ 20