Math CC7/8 – Jan. 3, 2017 Topic: Finding Slope Things Needed Today (TNT): Pencil/Math Notebook Book Math Notebook: Topic: Finding Slope HW: MSA p. 98, #2-6, 7a-b, #8-12, #50-52 Prepare notebook for notes today
What’s Happening? Warm Up Lesson- Finding Slope of a Line
Write a number line that shows the solution to the Warm Up Linda has $26. She earns $6 for 1 hour (h) of babysitting. She wants to buy a ski pass for $80. Write an inequality that shows the number of hours (h) Linda could babysit to be able to buy the ski pass. Write a number line that shows the solution to the inequality –1 < x?
Warm Up Answer Key 1. 2.
The dependent variable The independent variable Define all the parts of the equation. y = mx + b Y- intercept The dependent variable The independent variable Slope
How do you find the slope from…a graph? Rise (vertical change) Run (horizontal change) a table? As x goes up by 1, what happens to y? Find the y ÷ x an equation? The coefficient (the number next to the variable)
How can you find the y-intercept and the slope of a line from a: Question How can you find the y-intercept and the slope of a line from a: Line from data a graph table Or an equation?
y-intercept = 3 Slope = m = 3 equation: y = 3x + 3 Also, find the y-intercept and write an equation that represents the table below. y-intercept = 3 Slope = m = 3 equation: y = 3x + 3
y = 3x + 6 6 y = 6 - 3x Page 92 1 6 Y-intercept = Slope = Rise = Run 3 or 3 1 -3 or -3 1 Slope = Rise = Run Slope = Rise = Run y = 6 - 3x y = 3x + 6
Page 92 y = 3/2x – 1 -1 5 Y-intercept = Y-intercept = y = -1/2x + 5 3 Slope = Rise = change in Y = Run change in X Y-intercept = -1 y = 3/2x – 1 Y-intercept = 5 -1/2 1 Slope = Rise = change in Y = Run change in X 5 y = -1/2x + 5
Change slope into an improper fraction 20 y-intercept = 5 y-intercept = Slope = coefficient of x Slope = Slope = coefficient of x Slope = 2.5 or 5/2 -3
-1 Graph the points? Make a table? Slope = Rise = change in Y = Run change in X Graph the points? Or calculate the change in y divided by the change in x (4, 4) (5, 3) (6, 2) Use the table to find 2 more points? Find the y-intercept , write the equation, use substitution?