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Slope & Lines

The Hook

Rise over Run.

What is it?

Understanding y = mx + b.

Time Travel (History)

Descartes invented the coordinate plane while watching a fly on his ceiling.

Cheat Code

m is the move (slope), b is the begin (y-intercept).

Practice This Now!

The Field Guide

In Plain English: Every straight line can be described by two things: Where it starts (b) and how steep it is (m). Positive slope goes up hill, negative slope goes down hill.

In The Real World: Road grades (steepness), Roof pitches, Economy trends.

Booby Trap!

Mixing up x and y when calculating rise over run. Slope is Change in Y divided by Change in X.

Real World Challenge
"A plumber charges $100 to show up (b) and $50 per hour (m)."
The Logic: Equation: y = 50x + 100. Slope is 50. Intercept is 100.

Training Drills

Graphing
y = 2x + 1 Start at 1. Go Up 2, Right 1.
Plot points and connect.