Slope - Kentucky Academy of Technology Education

Slope - Kentucky Academy of Technology Education

Introduction To Slope Slope is a measure of Steepness. Types of Slope

Zero Negative Positive Undefined or No Slope

Slope is sometimes referred to as the rate of change between 2 points. The letter m is used to represent slope.

Why? If given 2 points on a line, you may find the slope using the formula m = y2 y1 x2 x 1

The formula may sometimes be written as m =y . x What is ?

Find the slope of the line through the points (3,7) and (5, 19). x1 y1 x2 y2 m = 19 7 53

m = 12 2 m=6 (3, 4) and (-6, -2) m = -2 4 -6 3

m = -6 -9 m= What if the numerator is 0? What if the denominator is 0?

If given an equation of a line, there are 2 ways to find the slope and y-intercept. One method is to write the equation in

slope-intercept form, which is y = mx + b. slope y-intercept Find the slope and y-intercept of the following equations.

y = 3x + slope= 3 y-intercept = 3x + 5y = 10 First, solve the equation for y.

3x + 5y = 10 5y = -3x + 10 y = -3/5 x + 2 m= -3/5 b=2 Another method to

find the slope if given an equation of a line is to write the equation in the form Ax + By = C. m = -A/B, b = C/B

Find the slope and y-intercept of the following equations. A B C 8x + 11y = 7

m= -8/11 b = 7/11 -6x = 2y + 14 First, rewrite the equation in the form Ax + By = C.

-6x - 2y = 14 m= 6/-2 m= -3 b = 14/-2 b = -7 If given the graph

of a line, find the slope by using the triangle method to find the rise over run. rise = 4 m= rise run

run = 5 m= 4/5 The End

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