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 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?

The sign of the slope of a line depends on the vertical direction of the line as it moves to the right.❖ The slope of a line that moves upward as it moves to the right is ________________.❖ The slope of a line that moves downward as it moves to the right is ________________.

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.

The slope of a supply curve is_____ *1 pointA. horizontalB. uniformC. positiveD. vertical

The graph of a line gets _____ as the value of the slope gets smaller.A.longerB.less steepC.shorterD.steeper