Answers AZ-Algebra 1A MA101Writing Linear Equations

Writing Linear Equations — Unit test Answers

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A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = (x – 2). Which equations also represent this line? Select three options.

y = x – 2

y = x +

3y = –5x + 10

3x + 15y = 30

5x + 3y = 10

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Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?

f(x) = –x – 11

f(x) = –x – 1

f(x) = –x + 3

f(x) = –x + 13

Timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2. How does the graph of g(x) compare to the graph of f(x)?

The line of g(x) is steeper and has a higher y-intercept.

The line of g(x) is less steep and has a lower y-intercept.

The line of g(x) is steeper and has a lower y-intercept.

The line of g(x) is less steep and has a higher y-intercept.

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Tracie’s bus travels towards her home at an average speed of mile per minute.

Tracie’s bus travels towards her home at an average speed of 2 miles per minute.

Tracie’s bus travels away from her home at an average speed of mile per minute.

Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

Mrs. Jackson gives the table below to her students.

a = 22 because the rate of change is 1.

a = 20 because the rate of change is 3.

a = 22 because the rate of change is –1.

a = 20 because the rate of change is –3.

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

–15

–9

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y – 12 = –5(x + 2)

y – 12 = 2(x + 2)

y + 12 = 2(x – 2)

y + 12 = –5(x – 2)

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

y = –3x

y = –

y =

y = 3x

At a glance, Kendra believes that the function represented on the graph is linear.

She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.

She can check to see if the sum of each y-value and x-value in every ordered pair is the same.

She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.

She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

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

y = 4x – 2

y = –4x – 2

y = x – 2

y = – x – 2

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

negative StartFraction 5 Over 2 EndFraction