question

Which table represents a linear function?

answer

x y
1 3
2 7
3 11
4 15

question

Which equation represents the graphed function?

answer

y = 1/4x - 2

question

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?

answer

y - 12 = -5(x + 2)

question

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

answer

f(x) = -2/3x - 11

question

Which linear function is represented by the graph?

answer

f(x) = -1/2x + 1

question

At a glance, Kendra believes that the function represented on the graph is linear.
How can Kendra determine if the function is actually linear?

answer

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.

question

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? Check all that apply.

answer

y = -5/3x + 10/3
3y = -5x + 10
5x + 3y = 10

question

Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must m be and why?

answer

m = 20 because the rate of change is -3.

question

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?

answer

-9

question

Which linear function represents the line given by the point-slope equation y - 8 = 1/2 (x - 4)?

answer

f(x) = 1/2x + 6

question

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)?

answer

The line of g(x) is steeper and has a lower y-intercept. (This answer has been noted as mostly wrong.) so, don't trust this one.

question

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?

answer

-2/5

question

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

answer

y - 1 = 3x

question

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

answer

y = x/3

question

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

answer

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

question

The table represents a linear function.
What is the slope of the function?

answer

5

question

The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the equation of this line in point-slope form?

answer

y + 6 = 5/2 (x + 2)

question

Which table represents a linear function?

answer

x y
1 -2
2 -10
3 -18
4 -26

question

The table represents a linear function.
What is the slope of the function?

answer

-4

question

How does the slope of g(x) compare to the slope of f(x)?

answer

The slope of g(x) is less than the slope of f(x).

question

Which linear function represents the line given by the point-slope equation y - 8 = 1/2 (x - 4)?

answer

f(x) = 1/2 x + 6

question

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

answer

6