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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/Rise over Run to find slope notesAbsent copyMon 4/15
Stack and subtract to find slopeHere 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 x’s and y’s.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
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 9or -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
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
Rise over Run method to find slopecount the change in y = Rise count the change in x Run4 = -2 2 slope is -2
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
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