8.EE.6 Understand the connections between proportional relationships: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line

8.EE.6 Understand the connections between proportional relationships: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line

Understand the connections between proportional relationships: 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.