Analytical Geometry Chapter Review
Chapter
Chapter 5
Section
Analytical Geometry Chapter Review
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Solutions 32 Videos

Identify the slope and y-intercept for each line.

\displaystyle \begin{array}{lllll} &a) & y= 3x +4 &c) & y = -1.11 + 9.7x \\ &b)& y = -\frac{2}{5}x - 6.8 &d)& y =3 \\ \end{array}

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0.38mins
Q1

Order the set of lines from closest to horizontal to closest to vertical.

\displaystyle \begin{array}{lllll} & y = 2x -4 \\ & y = x + 8\\ & y = \frac{1}{3}x - 2 \end{array}

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0.19mins
Q2a

Order the set of lines from closest to horizontal to closest to vertical.

\displaystyle \begin{array}{lllll} & y = -\frac{1}{3}x + 5\\ & y = -8x - 2\\ & y = -\frac{5}{2}x + 3 \end{array}

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0.48mins
Q2b

Copy and complete the table to identify whether the lines will rise or fall to the right.

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0.24mins
Q3

Determine the slope and y-intercept.

\displaystyle 3x - 4y + 9 = 0

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0.25mins
Q4a

Determine the slope and y-intercept.

\displaystyle 5x - y = 12

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0.26mins
Q4b

Determine the slope and y-intercept.

\displaystyle 2x + 6y = 32

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0.31mins
Q4c

Determine the slope and y-intercept.

\displaystyle 8x + 2y - 4 = 0

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0.28mins
Q4d

Evan and Sara shovel driveway in the winter time to earn some money. They charge $10 for a double driveway and $5 for a single driveway. This past winter, Min earned $255 and Steve earned $230.

a. Write equations for both Evan and Sarah to represent the relationship between the amounts earned shovelling single and double driveways.

b. Isolate the variable used for single driveways in both equations.

c. If they both shovelled 10 double driveways, how many single driveways did each shovel?

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1.31mins
Q5

Calculate the slopes of the line segments shown below.

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0.59mins
Q6

Calculate the slopes of the lines that pass through each of the following pairs of points.

A(8, 2) and B(1, 9)

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0.14mins
Q7a

Calculate the slopes of the lines that pass through each of the following pairs of points.

E(-1, 5) and F(3, 2)

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0.18mins
Q7b

Calculate the slopes of the lines that pass through each of the following pairs of points.

C(-1, 2) and D(3, -8)

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0.20mins
Q7c

Calculate the slopes of the lines that pass through each of the following pairs of points.

G(-3, 2) and H(-9, -11)

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0.26mins
Q7d

he points (-6, -3), (k, 1), and (8, 4) are collinear. Determine the value of k.

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1.28mins
Q8

Three hours after beginning her long-distance bicycle trip, Cathy was 98 km from home. After seven hours, she was 182 km from home. Assuming she maintained the same speed throughout the trip, how fast was she cycling?

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0.45mins
Q9

Determine the equation of each line.

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1.43mins
Q10

Determine the equation of the line described below.

Passing through the point M(6,9) with slope =-\dfrac{3}{4}

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Q11a

Determine the equations of the lines described below.

b) passing through the points P(3,-11) and Q(0,5)

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Q11b

Determine the equations of the lines described below.

c) passing through the points D(2,9) and E(1,13)

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Q11c

Determine the equations of the lines described below.

d) passing through the points A(5,2) and B(5,-3)

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Q11d

Determine the equations of the lines described below.

passing through the points X(8, 5)$ and Y(2, 3)

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Q11e

Determine whether the points A(2, -6) and B(-3, 10) lie on the line y=-4x+2.

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Q12

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

y=3x-5

y=-3x-5

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Q13a

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

y=0.25x-2

y=\dfrac{1}{4}x-9

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Q13b

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

y=\dfrac{1}{2}x+4

y=-2x-8

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Q13c

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

2x - 4y=9

x + 2y + 7=0

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Q13d

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

y=0.625x - 2

y=-1.6x - 9

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Q13e

Determine if the lines are parallel, perpendicular, or neither Justify your answers.

3x - 5y - 10=0

5x + 3y + 2 =0

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Q13f

Determine the equation for the line

passing through the point W(2,9) and parallel to y=\dfrac{7}{2}x+3.

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Q14a

Determine the equation for the line

passing through the point V(1,6) and perpendicular to y=-\dfrac{1}{4}x+11.

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Q14b

Determine the equation for the line

passing through the y-intercept of the line defined by 2x+3y-18=0 and perpendicular to 4x-9y=27.

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Q14c