Exploring Slope through Graphs and Points

This video tutorial explains the concept of slope, including its definition as the ratio of vertical change to horizontal change. It covers how to find slope from a graph and from two points using the formula (Y2-Y1)/(X2-X1). The tutorial also discusses different types of slopes, such as positive, negative, zero, and undefined slopes, and explores relationships between slopes, including parallel and perpendicular lines.

What is the formula for slope?

• X1 - X2 over Y1 - Y2

• Y1 - Y2 over X1 - X2

• Y2 - Y1 over X2 - X1

• X2 - X1 over Y2 - Y1

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Slope is often referred to as:

• Rate of time

• Rate of change

• Rate of speed

• Rate of distance

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When finding slope from a graph, what is the 'rise'?

• Horizontal change

• No change

• Vertical change

• Diagonal change

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If the vertical change is 4 and the horizontal change is 4, what is the slope?

• 0

• 1

• 4

• 8

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What should you do first when using the slope formula with two points?

• Calculate the difference in Y values

• Calculate the difference in X values

• Label the points

• Draw a graph

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What is the slope if Y2 - Y1 is 5 and X2 - X1 is 7?

• 2

• 1

• 7/5

• 5/7

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What type of slope does a line have if it decreases from left to right?

• Undefined

• Zero

• Negative

• Positive

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What is the slope of a horizontal line?

• Positive

• Zero

• Negative

• Undefined

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What is the slope of a vertical line?

• Negative

• Undefined

• Positive

• Zero

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What is true about the slopes of parallel lines?

• They are zero

• They are negative reciprocals

• They are undefined

• They are equal

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