For HELPCLICK "only"_Forum_C
AlphaMann
ref_2.pptSection 2.2
Lines
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Find the slope of the line containing the points (-1, 4) and (2, -3).
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The average rate of change of y with respect to x is
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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
(-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).
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Run = 1
Rise = -3
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Find the equation of a horizontal line containing the point (2, – 4).
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Find an equation of the line L containing the points (–1, 4) and (3, –1). Graph the line L.
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(-1, 4)
(3, -1)
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(2, 0)
Find the slope m and y-intercept b of the equation
3x – 2y = 6. Graph the equation.
3
2
3x – 2y = 6
– 2y = –3x+6
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(0, -3)
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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)
3x + 2(0) = 6
3x = 6
x = 2
3(0) + 2y = 6
2y = 6
y = 3
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(0, 3)
(2, 0)
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Find the slope of a line perpendicular to a line with slope .
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347
213
m
--
==-
+
437
123
m
+
==-
--
7
3
-
(
)
(
)
431
yx
-=---
433
yx
-=--
31
yx
=-+
(
)
(
)
402
yx
--=×-
40
y
+=
4
y
=-
(
)
14
31
m
--
=
--
5
4
=-
(
)
(
)
5
41
4
yx
-=---
(
)
5
41
4
yx
-=-+
3
3
2
yx
=-
3
3
2
yx
=-
1
:3212
Lxy
-+=
2
:640
Lxy
-=
2312
yx
=+
3
6
2
yx
=+
3
Slope; -intercept 6
2
y
==
46
yx
-=-
3
2
yx
=
3
Slope; -intercept 0
2
y
==
Find an equation for the line that conta
ins the point (1,3) and is
parallel to the lin
341
e .
2
xy
=
-
-
4312.
yx
-=-+
3
3
4
yx
=-
3
So a line parallel to this one would hav
e a slope of .
4
(
)
11
yymxx
-=-
(
)
3
3(1)
4
yx
-=--
315
44
yx
=+
perpendicular
4
3
m
=-
1
3
4
m
=
2
4
3
m
=-
3
4
Find an equation for the line that conta
ins the point (1,3) and is
perpendicular to the li
2
ne
31
.
4
xy
-=
-
4
So a line perpendicular to this one woul
d have a slope of .
3
-
(
)
4
3(1)
3
yx
-=---
45
33
yx
=-+
x
y
x
y
x
y
x
y
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
x
y
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
