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 ๐บ = ๐ฎ๐น for a line through the origin and the equation ๐บ = ๐ฎ๐น + ๐ฃ for a line intercepting the vertical axis at ๐ฃ.

Expressions and Equations

Understand the connections between proportional relationships, lines, and linear equations.