# The Slope of a Line Slope Slope rate

- Slides: 17

The Slope of a Line

Slope • Slope: rate of change of a line • The steepness of a line y (x 2, y 2) y 2 – y 1 rise (x 1, y 1) • Where m = slope x 2 – x 1 run x

Finding Slope • Find Slope Using Two Points: 1. (2, 3) (5, 4) 2. (5, -1) (-3, 6)

Positive Slope • A line that rises from left to right is a positive slope.

Negative Slope • A line that with a negative slope falls from left to right.

Zero Slope • A line with zero slope is a horizontal line. • The m value will come out to be 0 over a number, which means the slope is zero. • An equation that is y= a number, the slope will always be zero

Undefined Slope • A line that is an undefined slope is a vertical line. • The m value will come out to be a non-zero number over 0. • An equation that is x= a number will always have an undefined slope

Writing Linear Equations

Slope-Intercept When Given a Table When given table • +1 +1 x 0 1 2 y 2 4 6 +2 +2

Slope-Intercept When Given a Table When given table • +1 +1 x -2 -1 0 y 4 6 8 +2 +2

Slope-Intercept When Given a Table When given table • -2 -2 -2 0 3 x 2 4 6 y 7 11 15 -4 -4 -4

Slope-Intercept When given slope and 1 pair of coordinates • ex

Slope-Intercept When given slope and 1 pair of coordinates •

Slope-Intercept When given slope and 1 pair of coordinates • *Remember your x- and y- will ALWAYS STAY as x- and y- in Slope-Intercept Form

Slope-Intercept When given 2 points • ex

Slope-Intercept When given 2 points • ex

Slope-Intercept When given 2 points • ex

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