3.6 Lines CP.notebook
November 03, 2016
Do Now #22
B (0,3)
A (3,-3)
Is this slope positive, negative, undefined or zero?
What is the slope of this line?
3.1 ­ 3.2 Quiz parallel
skew
perpendicular
C
parallel
A
D
B
3x+1 = 85
x+74 = 2x­1
54 = 4x­6
6x + 108 = 180
1
3.6 Lines CP.notebook
November 03, 2016
What we will learn today:
• To graph lines and write their equations in slopeintercept and point-slope form, and
standard form.
• To
classify
lines as
intersecting,
coinciding, or
:
What
we will learn
today
• Toparallel
graph .lines and write their equations in slopeintercept and point-slope form, and
• To classify lines as intersecting, coinciding, or
parallel.
Three Type of Equations of Lines
1. Slope-Intercept form: y = mx + b
slope
y-intercept
2. Point-Slope form: y - y1= m(x - x1)
slope
the point (x1, y1)
3. Standard form: Ax + By = C
A and B are non zero
2
3.6 Lines CP.notebook
November 03, 2016
Examples ~ Graph each line then write an
equation for the line.
1. the line with slope 6 through (3, –4) in pointslope form
2. the line through (–1, 0) and (1, 2) in slopeintercept form
3. the line with the x-intercept 3 and y-intercept
–5 in point slope form
** Find the x and y intercepts **
5x+3y=15
3
3.6 Lines CP.notebook
November 03, 2016
Examples ~ Determine whether each pair of lines is
parallel, intersecting, or coinciding.
1. y = 3x + 7, y = –3x – 4
2.
3. 2y – 4x = 16, y – 10 = 2(x - 1)
4. 3x + 5y = 2, 3x + 6 = -5y 4
3.6 Lines CP.notebook
November 03, 2016
WORKSHEET
5
3.6 Lines CP.notebook
November 03, 2016
6