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Slope of a line 10.1 Finding slope from 2 pts and graph Ordered Pairs will be (-,+) (0,0) Ordered Pairs will be (+,+) Also called Horizontal Axis Ordered Pairs will be (-,-) Ordered Pairs will be (+,-) Also called Vertical Axis Remember how to plot and read ordered pairs? Name the ordered pairs for M, N, R, S Graph points A(6, -4) B(0, -5) C(-3, 1) D(5, 0) C R S (1, 2) D (-5, 0) M (-3, -2) N (4, -2) B A 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.) Can’t add or sub these Why? They are not Like Terms Solve for Y 2x 4 y 8 2x 2x 4 y 2 x 8 4 4 4 2 8 y x 4 4 1 y x2 2 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 D Negative Slopes Positive Slopes C B E A Read line from left to right Going up—positive Going down--negative Types of lines Angles up Slope is ______ Positive Angles down Horizontal Vertical Slope is ________ Slope is ______ Slope is _____ Negative Zero Undefined Find slope from a graph Going up is Positive right is left is Negative Positive Going down is Negative Slope is a fraction How far did you go up/down? Over How far did you left/right? rise up / down Slope = run left / right Write this on notes down 1 1 Slope right 3 3 B Read line from left to right Going up—positive Going down--negative A up Slope 1 right 4 Find slope from a graph Going up is Positive right is left is Negative Positive Going down is Negative 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 up 3 Slope right 1 C D 4 up Slope right 2 2 down 2 Slope right 3 E up 3 Slope right 4 Read line from left to right Going up—positive Going down--negative F Steps to find slope from 2 pts (x1, y1) (x2, y2) (2, 7) (8, 3) (x1, y1) (x2, y2) Formula (it will be given to you) y2 y1 m x2 x1 Label your points Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y2 - y1) divide (x2- x2) enter Example 1 m (x1, y1) (x2, y2) (0, 4) (1, 2) 24 10 2 m 1 2 y2 y1 m x2 x1 Label your points (x1, y1) (x2, y2) Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y2 - y1) divide (x2- x2) enter Example 2 (x1, y1) (x2, y2) (7, -4) (9, -1) 1 4 m 97 3 m 2 y2 y1 m x2 x1 Label your points (x1, y1) (x2, y2) Plug points into formula Simplify top and bottom, then divide the two numbers Calculator (y2 - y1) divide (x2- x2) enter Example 3-4 3) m (x1, y1) (x2, y2) (10, 5) (3, 5) 5 5 3 10 0 m 7 0 y2 y1 m x2 x1 (x1, y1) (x2, y2) 4) (-4, 2) (-4, 0) 0 2 m 4 4 2 undefined m 0 0 m 2 0 2 undefined m 0 All VERTICAL lines have NO SLOPE. All HORIZONTAL lines Have a ZERO slope.