Slope of a line 10.1 Finding slope from 2 pts and graph

Also called Vertical Axis Also called Horizontal Axis Ordered Pairs will be ( +, + ) Ordered Pairs will be ( -, + ) Ordered Pairs will be ( -, - ) Ordered Pairs will be ( +, - ) ( 0, 0 )

Remember how to plot and read ordered pairs? Name the ordered pairs for M, N, R, S M N R S (-5, 0) (-3, -2) (1, 2) (4, -2) A B C D Graph points A(6, -4) B(0, -5) C(-3, 1) D(5, 0)

3 ways to determine Slope (m) From an equation – you must solve for “y” first. From a line on the graph. From 2 points – (the slope formula using two ordered pairs.)

Solve for Y We want y by itself Move the x term (do the opposite + or -) Move the term in front of y (do the opposite x or ) Slope = ½ Can’t add or sub these Why? They are not Like Terms

A B D C Positive Slopes Negative Slopes E Going down--neg Intermediate slope Expert slope Beginner slope Going up--pos Read line from left to right Going up—positive Going down--negative

Types of lines Slope is ______ Slope is ________ Slope is ______ Slope is _____ Angles up Angles down Horizontal Vertical PositiveNegativeZero Undefined

Going up is Positive Going down is Negative right is Positive left is Negative Find slope from a graph Slope is a fraction How far did you go up/down? Over How far did you left/right? Slope = Write this on notes

A B Read line from left to right Going up—positive Going down--negative

Going up is Positive Going down is Negative right is Positive left is Negative Find slope from a graph Pick two points on the grid Starting from left pt, count up or down on grid Write down that number in the numerator Count left or right to next point Write down this number in denominator This fraction is your slope

C D

F E Read line from left to right Going up—positive Going down--negative

Steps to find slope from 2 pts (x 1, y 1 ) (x 2, y 2 ) (2, 7) (8, 3) Formula (it will be given to you) Label your points (x 1, y 1 ) (x 2, y 2 ) Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y 2 - y 1 ) divide (x 2 - x 2 ) enter

Example 1 (x 1, y 1 ) (x 2, y 2 ) (0, 4) (1, 2) Label your points (x 1, y 1 ) (x 2, y 2 ) Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y 2 - y 1 ) divide (x 2 - x 2 ) enter

Example 2 (x 1, y 1 ) (x 2, y 2 ) (7, -4) (9, -1) Label your points (x 1, y 1 ) (x 2, y 2 ) Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y 2 - y 1 ) divide (x 2 - x 2 ) enter

Example 3-4 (x 1, y 1 ) (x 2, y 2 ) (10, 5) (3, 5) 4) 3) (x 1, y 1 ) (x 2, y 2 ) (-4, 2) (-4, 0)

All HORIZONTAL lines Have a ZERO slope. All VERTICAL lines have NO SLOPE.