Writing Equations of Linear Functions (B) WORKSHEET

Suitable for Grades: Algebra I, IM 1
CCSS: 8.F.B.4, HSA.CED.A.2
CCSS Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Writing Equations of Linear Functions (B) WORKSHEET DESCRIPTION

This worksheet will see your learners forming equations of straight lines from given information and vice versa, using equations to state the slope and y-intercept.

In section A, students are given the slopes of sixteen straight lines, as well as a coordinate on the straight lines. In each case, students will write the equation of each straight line in the form y = mx + b. In the instances where the coordinate given is not the y-intercept, students will have to use substitution to find it.

Next up, students are given thirteen different equations, and they will have to state the slope and y intercept of each. However, some of the equations will need rearranging beforehand, as they are not all in the form y = mx + b.
Section C provides three further problems involving equations of straight lines.

Slopes are integer and fractional, positive and negative.