Cat LogoBrand logo

8th Grade Linear Relationships and Functions

A linear relationship is any equation that, when graphed, gives you a straight line. A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs the straight line. In case, if the function contains more variables, then the variables should be constant, or it might be the known variables for the function to remain in the same linear function condition. This overview is like a linear relationships study guide for teachers.

Worksheets (16)
Practice tests (17)
Quizzes (17)
Unit test (1)

Important points of the linear relationship


The equation can have up to two variables, but it cannot have more than two variables.

All the variables in the equation are to the first power. None are squared or cubed or taken to any power. And also, none of the variables will be in the denominator.

The equation must be graphed as a straight line. Linear relationships such as y = 2 and yx all graph out as straight lines. When graphing y = 2, you get a line going horizontally at the 2 mark on the y-axis. When graphing yx, you get a diagonal line crossing the origin.

The expression for the linear equation is; y = mx + c


Linear relationship Example

1.    Let’s draw a graph for the following function:

F(2) = -4 and f(5) = -3

·       Let’s rewrite it as ordered pairs(two of them).

·       f(2) =-4 and f(5) = -3

·       (2, -4) (5, -3)

2.    Find the slope of a graph for the following function.

f(3) = -1 and f(-8) = -6

·       Let’s write it again as ordered pairs

·       f(3) =-1 and f(8) = -6

·       (3, -1) (8, -6)

·       we will use the slope formula to evaluate the slope

·       (3, -1) (8, -6)

·       (x, y1) (x, y2)

·       Slope Formula, m =y2−y1/x2−x1

·       −6−(−1)8−(−3)=−55

·       m = 1 is the slope for this function.  


Teachers are looking for lessons, activities, worksheets, quiz, mock test papers that are suitable for 8th grade math. Here's your compilation of lessons suitable for 8th grade to share with your students.

Linear Relationship worksheets
Linear Relationship Practice Problems
Linear Relationship Quiz
Linear Relationship Unit Test










Sum Up


Linear relationships can give insight into how variables interact with one another. Linear relationships can support statistical analysis to determine the presence of correlations and causal relationships between variables.


What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”