## Standards derived from the same national standard

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.

Use similar triangles to explain why the slope ๐ is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation ๐ฆ = ๐๐ฅ for a line through the origin and the equation ๐ฆ = ๐๐ฅ + ๐ for a line intercepting the vertical axis at ๐.

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.

Interpret ๐ฆ = ๐๐ฅ + ๐ as defining a linear equation whose graph is a line with ๐ as the slope and ๐ as the ๐ฆ-intercept.

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 ๐ฆ = ๐๐ฅ for a line through the origin and the equation ๐ฆ = ๐๐ฅ + ๐ for a line intercepting the vertical axis at (0, ๐).

Use similar triangles to explain why the slope, ๐, is the same between any two distinct points on a non-vertical line in the coordinate plane; know the equation ๐ฆ = ๐๐ฅ for a line through the origin and the equation ๐ฆ = ๐๐ฅ + ๐ for a line intercepting the vertical axis at ๐.

Use similar triangles to explain why the slope ๐ is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation ๐ฆ = ๐๐ฅ for a line through the origin and the equation ๐ฆ = ๐๐ฅ + ๐ for a line intercepting the vertical axis at ๐.

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.

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; know and 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.