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Published byAlonzo Weekes Modified over 2 years ago

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Stack and Subtract/Rise over Run to find slope notes Absent copy Mon 4/15

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Stack and subtract to find slope Here are 2 ordered pairs that can be graphed: (3,4) (5,2) you can find the slope of this line by stacking the ordered pairs and subtracting the xs and ys. Then put the new y on top of the new x. x (3,4) - (5,2) Hint: what happens with the – sign outside of the grouping? (-2,2) y = 2 Slope is -1 x,y x -2

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Example 1 Find the slope of the line that goes through the following points. (-4,8) and (5,-1) (-4,8) - (5,-1) distribute the neg. (-4,8) +(-5,1) -9, 9 x, y Slope is 9 or -1 -9 Does it matter what ordered pair we stack first when using the stack and subtract method to find slope? YES or NO What do we have to do with the neg. sign outside of the groupings? You have to distribute the neg. sign through the parenthesis then re- write. How do we write the slope y or x x y

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Example 2 Find the slope of the line that goes through the following points. (-3,3) and (2,1) ( 2, 1) -(-3,3) distribute the neg. ( 2, 1) +( 3,-3) (5, -2) x, y Slope: -2 5 Does it matter what ordered pair we stack first when using the stack and subtract method to find slope? YES or NO What do we have to do with the neg. sign outside the groupings? You have to distribute the neg. sign through the parenthesis then re- write. How do we write the slope y or x x y

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Rise over Run method to find slope count the change in y = Rise count the change in x Run 4 = -2 2 slope is -2

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Example 3 Identify the slope of the line. 5 = 1 5 Slope is____-1_____ What do we all ready know from the direction of the line? That the slope is neg. What is the change in y? The change in y is 5. What is the change in x? The change in x is 5. How do we write the solution to the slope? y or x x y

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Example 4 What do we all ready know from the direction of the line? The slope will be positive. What is the change in y? The change in y is 8. What is the change in x? The change in x is 2. How do we write the solution to the slope? y or x x y Identify the slope of the line. slope 8 = 4 2

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