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Slope of a line

Slope of a line. 10.1 Finding slope from 2 pts and graph. Properties of the Coordinate Plane. Quadrant II. Quadrant I. Ordered Pairs will be ( - , + ). Ordered Pairs will be ( + , + ). ( 0 , 0 ). Origin. X-axis. Also called Horizontal Axis. Quadrant IV.

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Slope of a line

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

  2. Properties of the Coordinate Plane. Quadrant II Quadrant I Ordered Pairs will be ( - , + ) Ordered Pairs will be ( + , + ) ( 0 , 0 ) Origin X-axis Also called Horizontal Axis Quadrant IV Quadrant III Ordered Pairs will be ( + , - ) Ordered Pairs will be ( - , - ) Y-axis Also called Vertical Axis

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

  4. 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.)

  5. 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 Solve for Y

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

  7. Types of lines Angles up Angles down HorizontalVertical Slope is ______ Slope is ________ Slope is ______Slope is _____ Undefined Positive Negative Zero

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

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

  10. 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 Find slope from a graph Going up is Positive right is Positive left is Negative Going down is Negative

  11. C D

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

  13. (x1, y1) (x2, y2) (2, 7) (8, 3) Formula (it will be given to you) 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 Steps to find slope from 2 pts

  14. (x1, y1) (x2, y2) (0, 4) (1, 2) 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 1

  15. (x1, y1) (x2, y2) (7, -4) (9, -1) 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

  16. (x1, y1) (x2, y2) (10, 5) (3, 5) Example 3-4 (x1, y1) (x2, y2) (-4, 2) (-4, 0) 3) 4)

  17. Let's look at these lines. All VERTICAL lines have NO SLOPE. All HORIZONTAL lines Have a ZERO slope.

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