Introduction To Slope. Slope is a measure of Steepness.

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Presentation transcript:

Introduction To Slope

Slope is a measure of Steepness.

Types of Slope Positive Negative Zero Undefined or No Slope

Slope is sometimes referred to as the “rate of change” between 2 points.

If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – 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). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

(3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = m = ⅔

Vertical Change Horizontal Change This ratio is also known as Rise Run

Graph (3,2) and (-1,-1)

Draw a line through the points.

Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun

Vertical Change or the Rise 3

Horizontal Change or the Run 4 3

Find the slope of the following line.

The slope is… 1 2

Find the slope of the line.

The slope is…. -3