Answers Algebra I ASpecial Linear Relationships

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

y = –3x

y = –

y =

y = 3x

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The table represents a linear function.

–8

–4

The table represents a linear equation.

y – 6 = (x – 2)

y – 6 = (x – 2)

y + 6 = (x + 2)

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

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

negative StartFraction 2 Over 5 EndFraction

StartFraction 2 Over 5 EndFraction

StartFraction 5 Over 2 EndFraction

Which table represents a linear function?

Option

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

Option

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

The line represents a direct variation because = .

The line represents a direct variation because it is horizontal.

The line does not represent a direct variation because it does not go through the origin.

The line does not represent a direct variation because –4(3) ≠ 4(3).

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.

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

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.

The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.

The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.

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 – 2y = x + 3y = –5x + 103x + 15y = 305x + 3y = 10

y = x – 2

y = x +

3y = –5x + 10

3x + 15y = 30

5x + 3y = 10

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)