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Slope – The slope of a line is how much the line changes vertically over how much the line changes horizontally.

Slope – The slope of a line is how much the line changes vertically over how much the line changes horizontally. y. x. Slope – The slope of a line blah blah blah argle bargle. Wise guys. Change in y. rise. =. =. SLOPE = m =. X - men. Change in x. run. Find the slope of this line. -1.

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Slope – The slope of a line is how much the line changes vertically over how much the line changes horizontally.

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  1. Slope – The slope of a line is how much the line changes vertically over how much the line changes horizontally. y x Slope – The slope of a line blah blah blah argle bargle Wise guys Change in y rise = = SLOPE = m = X - men Change in x run Find the slope of this line -1 SLOPE = m = 3 Slope: positive, negative? NEGATIVE, it’s going down! Also, negative number!!

  2. SLOPE FORMULA!! MEMORIZE!! y x y2 – y1 Find points and label Plug into formula Reduce Fraction (1, 0) (4, -1) x1y1x2y2 SLOPE = m = x2 – x1 y2 y1 0 -1 x2 x1 4 1 -1 3 -1 SLOPE = m = 3

  3. SLOPE FORMULA!! MEMORIZE!! y x y2 – y1 Find points and label Plug into formula Reduce Fraction (-2, -1) (2, 5) x1y1x2y2 SLOPE = m = x2 – x1 Slope: positive, negative? y2 y1 -1 5 x2 x1 2 -2 POSITIVE!!! It’s going up, slope is also positive! 6 3 4 2 3 6 SLOPE = m = 2 4

  4. y x y2 – y1 SLOPE = m = x2 – x1 Find the slope, and say if it positive, negative, zero, or undefined! UNDEFINED – VERTICAL SLOPE, ZERO ON DENOMINATOR!!!! NEGATIVE ZERO  HORIZONTAL SLOPE IS ZERO!

  5. We need to find the unknown variable. I want you to try to figure it out. You can use the slope formula, or graph. Five minutes of silently working on it. x1 y1 x2 y2 y = 5

  6. We need to find the unknown variable. x1 y1 x2 y2 Plug into the slope formula. Simplify Cross-multiply and solve SOLVE-TASTIC!!

  7. We need to find the unknown variable. x1 y1 x2 y2 Plug into the slope formula. Simplify Cross-multiply and solve Why do we need to use the formula instead of always drawing the picture?

  8. Parallel and Perpendicular Lines SAME Parallel Lines have the ___________ slope Green Blue What do you notice about the lines and the slope? Lines are perpendicular Slopes are opposite reciprocals, or slopes multiply to equal -1

  9. Theorem 13-3 – Two nonvertical lines are parallel if and only if their slopes are equal • Theorem 13-4 – Two nonvertical lines are perpendicular if and only if the product of their slope is -1.

  10. Parallel Lines, SAME SLOPE Perpendicular Lines, opposite reciprocal. Slope ParallelPerpendicular

  11. T - HW #52:  Pg 532 WE: 7—11, 18—25, 30—31; Pg 537: 5—9 • I will be here at lunch or after school (unless I am wii hunting)

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