Linear and exponential relationships part 2 Unit test

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?

-4

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?

-9

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

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

y = x/3

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.

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

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 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

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 lower y-intercept. (This answer has been noted as mostly wrong.) so, don't trust this one.

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 = 1/2 (x - 4)?

f(x) = 1/2 x + 6

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

f(x) = 1/2x + 6

Which table represents a linear function?

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

Which table represents a linear function?

x y 1 3 2 7 3 11 4 15

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

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

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