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The rise is the ____-value of the second point minus the ____-value of the first point.The run is the ____-value of the second point minus the ____-value of the first point.We calculate slope using the ratio of rise over run.So, for any two points (x1, y1) and (x2, y2), slope = 𝑦2 − 𝑦1𝑥2 − 𝑥1Example:Calculate the slope of the line joining the points (2, 4) and (3, 6).slope = 6 −2 1 =− = _____Reversing the order of the points gives a different the same slope value.SummarySuppose Jordan graphed a line with a slope of 3 and Trevor graphed a line with a slope of -3. How would theirgraphs compare?

Question

The rise is the ____-value of the second point minus the ____-value of the first point.The run is the ____-value of the second point minus the ____-value of the first point.We calculate slope using the ratio of rise over run.So, for any two points (x1, y1) and (x2, y2), slope = 𝑦2 − 𝑦1𝑥2 − 𝑥1Example:Calculate the slope of the line joining the points (2, 4) and (3, 6).slope = 6 −2 1 =− = _____Reversing the order of the points gives a different the same slope value.SummarySuppose Jordan graphed a line with a slope of 3 and Trevor graphed a line with a slope of -3. How would theirgraphs compare?

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Solution

The rise is the y-value of the second point minus the y-value of the first point. The run is the x-value of the second point minus the x-value of the first point.

So, for any two points (x1, y1) and (x2, y2), slope = (y2 − y1) / (x2 − x1)

Example: Calculate the slope of the line joining the points (2, 4) and (3, 6). slope = (6 - 4) / (3 - 2) = 2 / 1 = 2

Reversing the order of the points gives the same slope value.

Summary: Suppose Jordan graphed a line with a slope of 3 and Trevor graphed a line with a slope of -3. Their graphs would be mirror images of each other about the x-axis. This is because a positive slope results in a line that rises from left to right, while a negative slope results in a line that falls from left to right.

This problem has been solved

Similar Questions

Positive and Negative SlopeRecall that the slope of a line is the ________ over the ______ from one point to the other.rise𝑚 = runRise is the number of units we move ____ or ________ from one point to another. On a graph, rise is thechange in the ____-values.rise = 𝑦2 − 𝑦1Run is the number of units we move ________ or __________from one point to another. So, on a graph, run isthe change in the ___-values.run = 𝑥2 − 𝑥1Let’s consider two points on the line: A(1, 2) and B(3, 4).Slope is ________ over ______. So, the slope is 22, or ___. Both the rise and run are ________________, so theslope is also __________________.

The graph shows how many cups of water are needed for eachcup of flour in a pizza dough recipe.The line contains the points (0,0) and (5,3).Between these points there is a rise of ____ units anda run of _____ units.Slope is the ratio of rise to run, so the slope of the line is, .Key Terms The rise is the ____-value of the second point minus the ____-value of the first point.The run is the ____-value of the second point minus the ____-value of the first point.We calculate slope using the ratio of rise over run.So, for any two points (x1, y1) and (x2, y2), slope = 𝑦2 − 𝑦1𝑥2 − 𝑥1Example:Calculate the slope of the line joining the points (2, 4) and (3, 6).slope = 6 −2 1 =− = _____Reversing the order of the points gives a different the same slope value.

What is the slope of the line that passes through the points

Rise is the change between the y-coordinates of any two points along a line in the xy-plane.A.TrueB.False

Using the slope formula, find the slope of the line through the given points two points below:                  (3, 6) and (4, 2)Question 54Answera.-4b.1/4c.4

1/3

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