3.4 Find and use Slope of Lines. Slope Slope is: Rate of change A ratio of rise and run The change in Y over the change in X The m is Y = mX +b.

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Presentation transcript:

3.4 Find and use Slope of Lines

Slope Slope is: Rate of change A ratio of rise and run The change in Y over the change in X The m is Y = mX +b

How do I find slope

Slopes of lines Negative = Falls from left to right Positive = Rises from left to right Zero = horizontal Undefined = vertical, leaning neither positive or negative

How do we find slope Count rise over run Use the slope formula Look at the “m” in Y = mX + b

Slopes of Parallel Lines Parallel lines will have same slope Y = 3x + 8 and y = 3x - 4 are parallel (same slope)

Slope of Perpendicular lines Perpendicular lines will have slopes that are negative reciprocals ( multiply to -1) Vertical and horizontal lines are perpendicular

Calculating Slope Given Two Points Take the difference of the y values over the difference in the X values

Examples What is the slope?

Example What is the slope?

Example What is the slope

Example What is the slope?

Example Find the slope

Find slope given two points