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3.5 Slope of a Line

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What is Slope? Slope is a measure of the steepness of a line. When looking at a graph, we can determine slope by taking, or the vertical displacement divided by the horizontal displacement between two points on the line. Slope is a measure of the steepness of a line. When looking at a graph, we can determine slope by taking, or the vertical displacement divided by the horizontal displacement between two points on the line.

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What is Slope? To find the slope of a line using its coordinates, we use the formula:

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Determine the slope of the line through each pair of points. 1.

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Determine the slope of the line and graph the line. 4.

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With slope intercept form, we plotted the and then used the to find a second point. With slope intercept form, we plotted the and then used the to find a second point. We can use ANY point on the line and the slope to graph using the same method. We can use ANY point on the line and the slope to graph using the same method. y-intercept slope

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Use the given point P and the given slope m to determine the coordinates of a second point Q. Then, draw the line through P and Q. 6.

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Slope The slope can also be useful in determining missing coordinates of points on a line. The slope can also be useful in determining missing coordinates of points on a line.

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Determine the value of a that makes the slope of a line through the two given points equal to the given value of m. 8. and;

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9. and ; 10. and ; Determine the value of a that makes the slope of a line through the two given points equal to the given value of m.

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