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.
Question
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.
Solution
The rise between the points (0,0) and (5,3) is 3 units, and the run is 5 units.
The slope of the line is the ratio of rise to run, which is 3/5 or 0.6.
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.
To calculate the slope, we use the ratio of rise over run. So, for any two points (x1, y1) and (x2, y2), the slope is calculated as (y2 - y1) / (x2 - x1).
For example, to calculate the slope of the line joining the points (2, 4) and (3, 6), we subtract the y-values and the x-values of the two points and divide the difference of the y-values by the difference of the x-values.
So, the slope = (6 - 4) / (3 - 2) = 2/1 = 2.
Reversing the order of the points gives the same slope value.
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 __________________.
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