Unit Test Review

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?

-2/5

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

5

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

6

Which table represents a linear function?

Graph 3

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

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

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

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

Which linear function is represented by the graph?

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

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

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

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

f(x) = 1/2x -10

Which table represents a linear function?

graph 1

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

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

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

y - 1 = 3x

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)

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.

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

Which equation represents the graphed function?

y = 1/4x -2