Grade 8Algebraic Thinking

8.EE.B.6

Understand why slope is constant, and where y = mx + b comes from.

Worksheets for this standard 1 topic

Slope & Slope-Intercept Form4 ways

The standard, officially

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 = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Builds on

7.G.A.1Use scale drawings 7.RP.A.2Recognize proportional relationships 8.G.A.5Reason about angles and similarity

Leads to

8.EE.C.8Solve systems of equations 8.F.A.2Compare two functions 8.F.A.3Tell linear from nonlinear functions