Answers 25-26 MATH 1 - S1Slopes of Parallel and Perpendicular Lines

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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

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The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

4.9

9.8

10.2

19.6

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

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –x + 9

y = –x + 5

y = –3x – 11y

y = –3x + 25

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

−8

Option

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

b = –a

–b = –a

b – a = 0

b(–a) = 0

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

They are perpendicular because their slopes are equal.

They are perpendicular because their slopes are negative reciprocals.

They are not perpendicular because their slopes are equal.

They are not perpendicular because their slopes are not negative reciprocals.

What is the slope of the line represented by the equation f(t)=2t−6?

The slope is 2 and the y-intercept is −6.

The slope is −6 and the y-intercept is 2.

The slope is 2 and the y-intercept is 6.

The slope is 6 and the y-intercept is 2.

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

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

(–4, 1)

(1, –2 )

(2, 0)

(4, 4)

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

y – 6 = 2(x – 10)

y – 2 = (x – 10)

y – 3 = (x – 2)

y – 3 = 2(x – 10)

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

–2

Option

The graph shows the amount of money Miguel earns after working x hours.

hours per dollar

3 dollars per hour

13 dollars per hour

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 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

Question text not available

−4

Option

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

–5

–4

Which is the graph of the equation ?

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.

What is the slope of a line that is perpendicular to the line y = x + 4? The slope of the line is .

Answer not available

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)

The table represents a linear function.

–3

–2

Which graph represents a function with direct variation?

Option

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