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Slope using Similar Triangles

Entering an equation for a visual model that gives the proportional relationship between two variables. Determining the slope of a line that passes through two points. Evaluating if an equation will have a y-intercept. Identifying graphs that represent an equation. Determining the slope or y-intercept of a line in a graph or an equation. Applying the concept of similar triangles to determine the slope of a line between adjacent points and to identify points on a line or a graph. Solve real-world problems using the concept of slope.

Mapped to CCSS Section# 8.EE.B.6

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.
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