Mon, 12/3 SWBAT…compute slope Agenda 1. WU (5 min) 2. Notes on slope (45 min) Warm-Up: Set up your notes. Topic is “Slope” HW#3: Slopes of lines (front & back)
How can we write 7% as a fraction?
7% as a fraction?? Remember than any percent is a part of 100.
The grade or incline of a road is the same as slope Here is the picture: 7 feet 100 feet
Slope of a line (m) To find the slope, use the formula 4 4 (elevacion) (desplazamiento)
Slope of a line (m) To find the slope, use the formula 4 4
Why do we use m for slope? Possibly because m comes from the French word “monter”, which means to climb
Slope of a line (m) Is the slope positive or negative? Answer: Positive, read from left to right
Slope of a line (m) Is the slope positive or negative? Answer: Negative, read from left to right
Your turn
“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.
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.
1 2 m What the graph looks like
What is the slope of this line? xy
Horizontal lines have a slope of ___ Vertical lines have a slope of ___ HorizontalVertical m = 0 m = undefined Algebraically prove that the slope of a vertical line is undefined.
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