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Finding the Equation of the Line (C) WORKSHEET

Suitable for Grades: 8th Grade

CCSS: 8.EE.B.6, 8.F.B.4

CCSS Description: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = m x for a line through the origin and the equation y = m x + b for a line intercepting the vertical axis at b.

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.

Finding the Equation of the Line (C) WORKSHEET DESCRIPTION

This worksheet will engage your learners in forming equations of straight lines from pairs of coordinates that are on the line, or from the slope and one point on the line. It simplifies the method, making it accessible for all.

In section A, students will focus on calculating the gradient of the line segment between pairs of coordinates. This part is arranged in a table format where students will first compute y2 - y1 and x2 - x1 before using these results to find the slope.

Next, learners will work out the equations of different lines using the slopes provided and a point that lies on the line.

Students then progress to finding the equations solely using a pair of coordinates in section C. This section continues to be scaffolded.

Slopes are positive, negative, integers and fractions.