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Mastering Slopes and Equations: Practical Guide for Linear Functions

Learn how to find slopes, y-intercepts, and graph linear equations easily with step-by-step instructions and examples. Master the slope-intercept form and enhance your graphing skills effectively.

patricia-fitzpatrick
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Mastering Slopes and Equations: Practical Guide for Linear Functions

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  1. Warm up 12 Find the slope: 1.) (4,0) (5,7) 2.) (-3,3) (-3, -2) 3.) (3/4, ½) ( 1/4, -1/2) 4.)(-3,4) (2,4)

  2. 7.5 Equations and Slope

  3. slope y-intercept Slope-intercept equationy = mx + b

  4. Find the slope and y-intercept ofy = -5x + 6

  5. Find the slope and y-intercept of2y = 7x - 4

  6. Find the slope and y-intercept of2x + 3y = 6 -2x -2x 3y = - 2x + 6 3 3 3

  7. Find the slope and y-intercept of-7x - 5y = 25 +7x +7x -5y = 7x + 25 -5 -5 -5

  8. Find the slope and y intercept of 3(x+4)=y-8x+3

  9. Going the other direction… • Given slope and the y intercept write your equation in slope-intercept form (y=mx+b) • 1.) m=3, b=-2 • Y=3x+-2 • 2.) m=0, b= -5 • Y= -5 • 3.) m=1/2, b= 1 • Y=1/2 x +1

  10. Write an equation of a line that has the same slope as y=3x -4 with a y intercept of 2. Y=3x+2

  11. Steps To Graph Using y=mx+bSlope Intercept From: • 1.) Solve for y so your equation is y=mx+b • 2.) Plot your b (y-intercept) on the y-axis • 3.) From your y intercept use your slope to go up(+) or down (-) and right and plot your 2nd point • 4.) Now that you have 2 points draw your line

  12. Using y-intercept and slope, graph:

  13. Using y-intercept and slope, graph:

  14. Using y-intercept and slope, graph:

  15. In closing…. • We now have three methods to graph linear equations: 1.) 7.2 making a table and plotting three points 2.) 7.3 finding the x and y intercepts and plot two points 3.) 7.5 Slope intercept form plotting two points

  16. AssignmentPage 32620-56 (even)on graph paper

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