Answers Geometry VIA Fall 26 clyonssdale.orgEquations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines — Unit test Answers

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A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

inch up per foot across

inch up per foot across

2 inches up per foot across

3 inches up per foot across

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Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?

110y = –29x + 333

29x + 110y = 333

29y = –110x + 333

110x + 29y = 333

The table shows the profit from a school book fair based on the number of books sold.

$0.50 per book

$0.67 per book

$1.07 per book

$1.50 per book

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

Which equation represents a line that passes through (2, –) and has a slope of 3?

y – 2 = 3(x + )

y – 3 = 2(x + )

y + = 3(x – 2)

y + = 2(x – 3)

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction

negative StartFraction 3 Over 4 EndFraction

StartFraction 3 Over 4 EndFraction

StartFraction 4 Over 3 EndFraction

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

f(x) = 2.25x + 5

f(x) = 5x + 2.25

f(x) = 2.25x − 5

f(x) = 5x − 2.25

Which of these values could be the slope of the line? Select two options.

–2

Option

What is the y-intercept of the function f(x)=4 – 5x?

–5

–4

What is the slope of a line that is perpendicular to the line y = 8x + 5?

−8

Option

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

5x + 3y = 18

5x – 3y = 30

5x – y = 30

5x + y = 18

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

y = x + 2

y = x – 4

y = x +

y = x –

Katarina wrote the standard form of a linear equation as 4x – y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Which shows the graph of x – 4y =–4?

A coordinate plane with a line passing through (0, negative 4) and (1, 0).

A coordinate plane with a line passing through (negative 4, negative 2), (0, negative 1) and (4, 0).

A coordinate plane with a line passing through (negative 2, negative 4), (negative 1, 0) and (0, 4).

A coordinate plane with a line passing through (negative 4, 0) and (0, 1).

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).Alejandro made his first error in which step?

Step 1

Step 2

Step 3

Step 4

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

Question text not available

−4

Option

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

It is linear because the graph decreases over time.

It is linear because there is both an independent and a dependent variable.

It is nonlinear because linear functions are increasing functions.

It is nonlinear because linear functions increase or decrease at the same rate.

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

−3

Option

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

c(x) = 5.50 + 20.50x

c(x) = 5.50x + 20.50

c(x) = 5.50 + 21.60x

c(x) = 5.50x + 21.60

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Equations of Parallel and Perpendicular Lines — Unit test Answers

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