Unit 4 Test - Writing and Graphing Linear Functions

By Chris Long
Last updated over 2 years ago
24 Questions

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Graph the function with the given domain.


Domain: {-2, -1, 0, 1}

Graph the function with the given domain.


Domain: {x: x < 1}

Write the equation for a horizontal line that goes through the point (2,3)

Write the equation for a vertical line that goes through the point (2,3)

Show your work!
Identify the x-intercept of 2x + 3y = 6 as an ordered pair.

Show your work!
Identify the y-intercept of 2x + 3y = 6 as an ordered pair.

Sketch the line given by 2x + 3y = 6.

Show your work!
Rewrite the equation in slope-intercept form.

Write an equation in slope-intercept form of the line shown.

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Write an equation in slope-intercept form for the linear function f with the given values:

f(2) = -2, f(5) = 7

You are taking Tae Kwon Do classes that costs $15 a month. In addition to the classes, you need to purchase a uniform. You paid a total of $108 for the uniform and 6 months of classes.

Write an equation that gives the total cost, y (in dollars) as a function of the length of time you have been taking classes, x (in months).

Show your work!
Write an equation in point-slope form of the line that passes through the given points:

(2, -2) and (5, 7)

Identify the slope of the given equation:

Identify the point of the given equation:

Show your work!
Write an equation in standard form that passes through the given points.

(2, 9) and (4, -1)

Show your work!
Find the value of k so that the three points lie on the same line.

(1, -2), (-2, 4), (4, k)

k = ?

Look at the equations below:

Choose all that apply:

Show your work!
Write the equation of the line (any form!) parallel to y = 2x - 6 that goes through the point (4, -9).

Show your work!
Write the equation of the line (any form!) perpendicular to y = 2x - 6 that goes through the point (4, -9).

Describe the correlation of the data based on your scatter plot.

Perform a linear regression to find the equation of the best fitting line. Round to the hundredths place, if necessary.

If a 100-gram serving of an avocado contains 161 kilocalories of energy, approximately how many carbohydrates does it contain?

Is #23 interpolation or extrapolation? Why?