section 1.3 lines
TRANSCRIPT
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Section 1.3
Lines
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Find the slope of the line containing the points (-1, 4) and (2, -3).
3 4 72 1 3
m
4 3 71 2 3
m
The average rate of change of y with respect to x is 73
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Compute the slopes of the lines L1, L2, L3, and L4 containing the following pairs of points. Graph all four lines on the same set of coordinate axes.
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Graph the equation: x = 2
x
y
x
y
(-2,4)
(-2,2)
(-2,0)
(-2,1)
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Find the equation of a line with slope 3 and containing the point (1, 4).
4 3 1y x
4 3 3y x
3 1y x
x
y
Run = 1
Rise = -3
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Find the equation of a horizontal line containing the point (2, 4).
4 0 2y x
4 0y
4y
x
y
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Find an equation of the line L containing the points (1, 4) and (3, 1). Graph the line L.
(-1, 4)
(3, -1)
1 4
3 1m
54
54 1
4y x
54 14
y x
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(0, -3)
(2, 0)
Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation.
3 32
y x
3
2
3x – 2y = 6
– 2y = 3x+6
3 32
y x
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Graph the linear equation 3x + 2y = 6 by finding its intercepts.
The x-intercept is at the point (2, 0)
The y-intercept is at the point (0, 3)
(0, 3)
(2, 0)
3x + 2(0) = 6
3x = 6
x = 2
3(0) + 2y = 6
2y = 6
y = 3
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1 : 3 2 12L x y 2 : 6 4 0L x y
2 3 12y x 3 62
y x
3Slope ; -intercept 62
y
4 6y x 32
y x
3Slope ; -intercept 02
y
x
y
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Find an equation for the line that contains the point ( 1,3) and is parallel to the lin 3 4 1e .2x y
4 3 12.y x
3 34
y x
3So a line parallel to this one would have a slope of .4
1 1y y m x x
33 ( 1)4
y x
3 154 4
y x
x
y
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Find the slope of a line perpendicular to a line with slope . 34
perpendicular43
m
134
m
243
m
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Find an equation for the line that contains the point ( 1,3) and is perpendicular to the li 2ne 3 1 .4x y
4 3 12.y x
3 34
y x
4So a line perpendicular to this one would have a slope of .3
1 1y y m x x
43 ( 1)3
y x
4 53 3
y x
x
y