Happy Wednesday! Tests are not graded New hw stamp log today Binder organization

After Test Worksheet Questions?

Warm ups Graph and label the following Points A: B: C: D: E: F: (3,2) (-5,1) (-4,3) (0,-2) (4,0) (-2,-3)

6-1 Slope Objective: To identify the slope of a graph and to find the slope of a line given two points on the line.

Slope Think, pair, share: What do you know about slope? Where might you see slope? What might we use slope for?

Slope Slope is the slant of a line slope = m = rise run Always write as an improper fraction in simplest form rise = up (+) down (-) run = right (+) left (-)

Finding Slope on graph     

Generalizations Can we make any generalizations? You can start at either point +− positive negative Positive slope writes up, negative slope writes down

special cases How do these lines look different? Vertical and horizontal 2. rise = 4 run = 0 Error – can’t divide by 0!! Undefined = no slope Undefined 5. rise = 0 run = 2 = 0 Zero slope

Slope Directions: Find the slope given two points. (x 1,y 1 ) (x 2, y 2 ) m = y 2 − y 1 x 2 − x 1 Plug the numbers into the formula! m = slope

Examples Find the slope given two points. 1. (3,10) (12,5) m = 5 − − 3 x 1 y 1 x 2 y 2 = (-1,5) (-3,7) m = 7 – 5 -3 – (-1) m = 7 – x 1 y 1 x 2 y 2 = 2 -2 = -1

Undefined (-2,3) (-2,-3) m = -3 – 3 -2 – (-2) Zero on bottom of fraction #/0 Vertical line Same x’s in ordered pairs x 1 y 1 x 2 y 2 = = -6 0 = Undefined

Zero Slope (-1,4) (2,4) m = 4 – 4 2 – (-1) Zero on top of fraction 0/# horizontal line Same y’s in ordered pairs x 1 y 1 x 2 y 2 = = 0 3 = Zero slope

Tell a partner How do you find the slope given a line? How do you find the slope given two points? What does a positive/negative slope look like?

Homework Rate of Change and Slope Worksheet