Calculating SLOPES

What slope means Slope tells you how ‘slanted’ a line is Roofers call it ‘pitch’ Highway engineers call it ‘grade’ Mathematicians call it ‘slope’

THE BUNNY SLOPE A line with a small slope only slants a little.

Double Black Diamond Expert Slope A line with a large slope slants a lot.

A line with a slope of zero is flat Cross-country skiing A line with a slope of zero is flat

OMIGOSH - A CLIFF! If a line has a slope that is undefined it isn’t a ski slope IT’S A CLIFF! Vertical lines have undefined slopes.

Signs of slopes Uphill from left to right: sign + Downhill from left to right: sign – Flat: (horizontal) slope = 0 Cliff: (vertical) slope is undefined.

Calculating slopes Slope is: Find the slope between (x1, y1) and (x2, y2): NOTE: If you start with y1 on the top, you must start with x1 on the bottom since they are from the same ( )

Calculating slopes Find the slope between (4, 3) and (-1, 2): If you start with y1 = 3 on the top, you must start with x1 = 4 on the bottom since they are from the same ( ) If you start with y2 = 2 on the top, you must start with x2 = -1 on the bottom since they are from the same ( )

Calculating harder slopes next . . .

Calculating harder slopes next . . .

Calculating harder slopes next . . .

Calculating harder slopes

Calculating slopes is easy Just remember to subtract in the correct order!