#1#1 write the equation of the line that passes through the points: #3#3 write the equation of the...
TRANSCRIPT
(6, 2)#1#1#1#1 Write the equation of the line that passes through
the points: (9, 6)and
#3#3#3#3
Write the equation of the line that passes through (8,2) and has the same x-intercept as:
y 2x 8
Challenge.
#2#2#2#2
3x 2y 18
Find the slope of the line for each of the following equations:AA 5x 4y 17BB 4x 2y 153CC
1 1my xy x 4
2 3
y x 6
#1#1#1#1
2 1
2 1
y ym
x x
2 6
6 9
43
4
y x3
2 8 4
y x 63
4
y x 63
Write the equation of the line that passes through the points: (6, 2) (9, 6)and
Find the slope of the
line.
Use the point-slope
formula.
Convert to slope-intercept
form.
#2#2#2#2
3x 2y 18
Find the slope of the line for each of the following equations:
AA 5x 4y 17BB 4x 2y 153CC
3
m2
5
m4
m 2
3x 2y 0
2y 3x 2 2
notimportant
#3#3 Write the equation of the line that passes through (8,2) and has the same x-intercept as:
y 2x 8x-intercept:
?,0 0 2x 8
8 2x
4 x
1 1my xy x
#3#3 Write the equation of the line that passes through (8,2) and has the same x-intercept as:
x-intercept: 2 1
2 1
y ym
x x
0 24 8
24
1
2 2
y x 8
1
y2
x2 4 1
y x 22
1
y x 22
4,0
Now that we have two points on the line…Find the slope of the line!
y 2x 8 12
ParallelParallelParallelParallel PerpendicularPerpendicularPerpendicularPerpendicular
ParallelParallelParallelParallel PerpendicularPerpendicularPerpendicularPerpendicular
A A
B
B
ParallelParallelParallelParallel PerpendicularPerpendicularPerpendicularPerpendicular
Never intersect
Have same slope
Intersect at a right angle
Slopes are negative reciprocals
(90 )
BAm m BAm m
BA
1m
m
B
A
1m
m
A A
B
B
Example:
A
2m
3 B
3m
2
ParallelParallelParallelParallel
Never intersect
Have same slope
2y x 9
3
2y x 10
3
2y x 8
3
2y x 11
3
2y x 12
3
2y x 13
3
2y x 14
3
2y x 15
3
2y x 7
3
2y x 6
3
2y x 5
3
2y x 4
3
2y x 3
3
BAm m BAm m
PerpendicularPerpendicularPerpendicularPerpendicular
Intersect at a right angle
Slopes are negative reciprocals
(90 )
A
BA
1m
m
B
A
1m
m
A
2m
3 Am
32
m23
1y x 4
2
Given the line:
Is the line below parallel, perpendicular or neither?
#1#1#1#1
ParallelParallel
y 2x 6
m 2
PerpendicularPerpendicular
1
m2
m 2
PerpendicularPerpendicular
3
y x 74
4
y x 73
#2#2#2#2
Given the line:
Is the line below parallel, perpendicular or neither?
ParallelParallel
m34
PerpendicularPerpendicular
4
m3
3
m4
neither
x 3y 7#3#3#3#3
Given the line:
Is the line below parallel, perpendicular or neither?
ParallelParallel
m13
PerpendicularPerpendicular
1
m3
m 3 1
y x 53
Find the slope of the
line.
ParallelParallel
2x 5y 12
2
y x 15
Given the line:
AAAA
Which line is parallel to the line above?
Which line is perpendicular to the line above?
BBBB
CCCC
DDDD 5x 2y 12
2x 5y 12
5x 2y 12
CCCC
BBBB
#5#5#5#5
SlopeSlope
slope-intercept f orWrite an equation in f or the line m that
passes through and is perpendicular to 1
4 7 y 5., x2
1 1my xy x
y x7 42
y x7 2 8
y 2x 1 y 2x 1
m
1
m2
2
PerpendicularPerpendicularPerpendicularPerpendicular
PerpendicularPerpendicularPerpendicularPerpendicular
#6#6
SlopeSlope
slope-intercept f orWrite an equation in f or the line m that
passes through and is perpendicular to 3,2 y 3x 1.
1 1my xy x
1y 2
3x 3
1y 2 x 1
3
1y x 3
3
1y x 3
3
m 3
m 13
PerpendicularPerpendicularPerpendicularPerpendicular
#7#7#7#7
SlopeSlope
slope-intercept f orWrite an equation in f or the line m that
passes through 8,5( ) and is perpendicular to 2x + 3y =12.
1 1my xy x
3
y2
x5 8
3
y x 122
5
3
y x 72
3
y x 72
2
m3
m32
Pg. 309 #22-27 and #34-39 Box6
Pg. 309 #22-27 and #34-39 Box6