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Wed, 12/3 SWBAT…compute slope Agenda 1. WU (5 min) 2. Notes on slope (35 min) Warm-Up: 1. Set up your notes. Topic is “Slope” HW #3: Slopes of lines (front & back)

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How do engineers build bridges?

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How do engineers build roads?

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How do builders build roofs?

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How can we write 7% as a fraction?

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7% as a fraction?? Remember than any percent is a part of 100.

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The grade or incline of a road is the same as slope Here is the picture: 7 feet 100 feet

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Slope of a line (m) To find the slope, use the formula 4 4 (elevacion) (desplazamiento)

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Slope of a line (m) To find the slope, use the formula 4 4

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Slope of a line (m) Find the slope of the following lines: 1 2 A) B) 2 3

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Why do we use m for slope? Possibly because m comes from the French word “monter”, which means to climb

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Slope of a line (m) Is the slope positive or negative? Answer: Positive, read from left to right

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Slope of a line (m) The last 2 lines had a positive slope, let’s look at slopes with negative slopes

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Slope of a line (m) We still use rise over run, except the “stairs” are underneath the line. 3 -2

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Your turn

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“Official” Definition of Slope Slope is the change in the vertical distance (rise) over the change in the horizontal distance (run) Pendiente: Razon del cambio en la coordenada y (elevacion) al cambio correspondiente en la coordenada x (desplazamiento) a medida que uno se mueve de un punto a otra en una recta.

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Find the slope of the line that passes through (1, 0) and (-1, -1). Question (x 1, y 1 ) (x 2, y 2 ) (To see the slope visually… Plot these points. Connect the line (don’t forget arrows)).

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1 2 m What the graph looks like

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Find the rate of change: xy 02 21 40 6

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Directions: Find the value of r so the line that passes through each pair of points has the given slope. (12, 10), (-2, r) m = -4

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Horizontal lines have a slope of ___ Vertical lines have a slope of ___ HorizontalVertical m = 0 m = undefined

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Practice Problem A horizontal lines passes through (2, 5). What other point does the line contain? 1. (2,3) 2. (0,5) 3. (5,10) 4. (0,2)

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2.5 slope. Rate of change: Change in the dependent variable Change in the independent variable The table shows the distance a band marches over time.

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