2. Functions and Graphs

Linear Functions — Quiz

Test your understanding of linear functions with 5 practice questions.

Practice Questions

Question 1

A linear function is defined by the equation $y = mx + c$. If the line passes through the points $(1, 5)$ and $(3, 11)$, what are the values of $m$ and $c$?

Question 2

The cost of producing $x$ units of a product is given by the linear function $C(x) = 15x + 200$. If the production cost is $500$, how many units were produced?

Question 3

Which of the following statements is true about the graph of the linear function $y = -\frac{2}{3}x + 4$?

Question 4

A linear function has an x-intercept of $(-3, 0)$ and a y-intercept of $(0, 6)$. What is the equation of this function?

Question 5

If a linear function's graph is perpendicular to the line $y = -\frac{1}{3}x + 5$ and passes through the point $(2, 1)$, what is its equation?