Dr. Fowler  CCM Slope - Easier

Slope can be expressed different ways: What is Slope? Slope is the rate of change of a line Slope can be expressed different ways: change in y change in x We use the letter m because the French word for “to go up” is monter. A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.

Slope Mountain Ski Resort No Notes Needed – Just Watch T. Merrill 2005 Positive slope, + work Negative slope, - work Zero slope is zero fun! NO slope. Oh No!!!! Slope Mountain Ski Resort No Notes Needed – Just Watch T. Merrill 2005

Determine the slope of the line. Start with the lower point and count how much you rise and run to get to the other point! rise 3 = = run 6 6 3 Notice the slope is positive AND the line increases!

Second Way – Pick 2 points on the graph (-2, -2) and (4, 1). Use the formula! y2 is the 2nd y… (y2 = 1) y1 is the 1st y… (y1 = -2) Notice you get the same answer either way. Which do you think is easiest?  Rise/Run or pick 2 points?

Slope of a Graphed Line Find the slope of each line below Find the slope of each line below. Volunteer for first? x y Slopes: Find the slope of each line below 4 4

Given two points on a line, find the slope: 1. (9, 2), (8, -7) X1 y1 X2 y2 2. (-4, 4), (-7, 2) 3. (5, -1), (9, -4)

Given two points on a line, find the slope: 4. (5, 2), (1, 0) X1 y1 X2 y2 Undefined NO slope 5. (3, -3), (3, -1) 6. (-4, -2), (4, -2)

If it is linear it will be the same no matter which two rows you pick Slope of a Table In a table we can use the same formula. Pick any two pairs in the table for coordinates Pick any two rows. If it is linear it will be the same no matter which two rows you pick x y -4 -17 1 -2 3 4 8 19 10 25 x1 y1 x2 y2

Slope of a Table Find the slope for each table below x y -10 17 -5 10 4.4 5 -4 -11 x y -3 -8 -1 1 4

Given an equation of a line, find the slope and y-intercept. y = mx + b. m = slope b = y-intercept Example: Find the slope and y-intercept: 1) y = 3x + ½ slope= 3 y-intercept = ½

The End

Excellent Job !!! Well Done

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