8th Grade MAT Targeted Standards Domain (EE) Expressions and Equations Cluster: Understand the connections between proportional relationships, lines, and linear equations.

MAT-08.EE.06 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.

Student Learning Targets:

Knowledge Targets

I can use right triangles to show why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane.

I can write an equation for a line in slope-intercept for (y = mx + b).

Reasoning Targets

I can justify the right triangles are similar by comparing the ratios of the lengths of the corresponding sides.