Standard Form
SOL A8
V. Write an equation of the line in Standard Form.
Slope-Intercept Form con’t
SOL A7 & A8
A. Given function values – have ____, need _____
𝒇(𝟎) = 𝟕
𝒇(𝟑) = 𝟏
A. Given a point and a slope
4
(𝟑, 𝟓) 𝒎 =
3
B. Given a Graph
B. Given 2 points
(−𝟑, −𝟓)
(−𝟏, 𝟑)
C. Write the horizontal and vertical lines given the pt.
1.
( 𝟒, 𝟔)
Horizontal:
2.
Vertical:
(𝟎, −𝟓)
Horizontal:
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Vertical:
(– 𝟑, 𝟕)
Horizontal:
3.
F. Do these points lie on the same line? How do you know?
(-2, 3) (2, 5) (6, 7)
Vertical:
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Point-Slope Form
SOL A8 & A6
III. Write an equation of the line in point-slope form.
A. Give the slope and a point
Slope = -3
B. Given the graph with the
Point (-3, 5)
point shown
Parallel and Perpendicular Lines
SOL A8
VI.
Perpendicular Lines and their slope
̝̝
A. 𝒎 = −𝟐 𝒑𝒆𝒓𝒑𝒆𝒏𝒅𝒊𝒄𝒖𝒍𝒂𝒓 𝒕𝒐 𝒎 =
B. 𝒎 =
C. 𝒎 =
−3
4
1
5
𝒕𝒐 𝒎 =
to m =
VII. Write an equation of the line parallel to the given line and
passing through the given point.
A. (−𝟑, −𝟓) 𝒚 = 𝟑𝒙 −1
c.
B. (−𝟏, 𝟑) 𝐲 = 𝟐𝐱 + 𝟐
Given 2 points
(1, 4) (2, 7)
C. (𝟓, −𝟏) 𝒚 =
−𝟑
𝟓
𝒙−𝟑
IV. Graphing with point-slope form.
C. Given the equation
y - 3 = 2(x + 2)
1.
Name the ordered pair
(watch for signs)
VIII. Write an equation of the line perpendicular to the given line
and passing through the given point.
A. (𝟐, 𝟒) 𝒚 = 𝟐𝒙 + 𝟑
B. (𝟑, −𝟐) 𝒚 =
−𝟑
𝟐
𝒙−𝟒
_________
2.
Name the slope
____________
C. (−𝟗, 𝟐) 𝐲 = −𝟑𝐱 − 𝟏𝟐
3. Graph the point and count slope
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Slope-Intercept Form
SOL A7 & A8
I. Write an equation of the line in slope intercept form.
Line of Best Fit Practice
SOL A 16
1.
Write the equation of the line. Use the calculator.
A. Given the slope and the y-intercept
Slope = -3/2 y-intercept = -3
X
Y
1
10
1
12
3
33
4
46
5
59
6
70
9
102
2.
D. Given 2 points
X
Y
(-3, 1) and (0, -8) – have _____, need _____
1.2
10
1.8
7
2.3
5
3.0
-1
4.4
-4
5.2
-8
(1, 4) and (2, 7) – need both _____ & _____
3. Sailboats – Your school’s sailing club wants to buy a sailboat. The table
shows the lengths and costs of sailboats.
Length
(feet)
Cost
(dollars)
E. Given a Table – need both _____ and _____
X
Y
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-4
6
4
4
8
3
12
2
11
12
14
14
16
22
23
600
500
1900
1700
3500
6500
6000
a.
Find an equation that models the cost (in dollars) of a sailboat as a function of
its length (in feet).
a.
Approximate the cost of a sailboat that is 20 feet long.
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