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8ee6 Worksheets

Expressions & Equations Understand the connections between proportional relationships, lines, and linear equations. 6Use 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. Analyze and solve linear equations and pairs of simultaneous linear equations.

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8ee6 Worksheets - Examining Slope Attributes worksheet

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Examining Slope Attributes

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Find the slope of a line by comparing the rise and run shown with two triangles on a graph.
Compare two slopes to tell which line is steeper and explain why using rise/run.
Write slope as a ratio or fraction and simplify it when possible.

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8ee6 Worksheets - Finding Missing Coordinates Using Similar Triangles worksheet

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Finding Missing Coordinates Using Similar Triangles

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Find a missing x- or y-coordinate on a graph by using similar triangles.
Set up and solve a proportion from matching side lengths in two similar triangles.

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8ee6 Worksheets - Finding Rise using Similar Triangles worksheet

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Finding Rise using Similar Triangles

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Use similar triangles on a graph to figure out a missing rise between two points on a line.
Set up and solve a proportion using rise and run to keep the slope the same.
Check that your answer makes sense by comparing slopes from different triangles on the same line.

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8ee6 Worksheets - Identifying Same Slope worksheet

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Identifying Same Slope

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Practice finding slope as the ratio of a triangle's height to its base (rise over run)
Compare ratios to identify which triangle has the same slope as the given one
Simplify or scale ratios to determine if two triangles represent the same steepness

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