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Graphing Linear Equations: Slope-Intercept Form

Learn to graph lines in slope-intercept form, find intercepts, and identify slope and y-intercept. Practice algebraic and geometric methods for graphing equations.

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Graphing Linear Equations: Slope-Intercept Form

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  1. 2.3 Graphing Linear Equations in Slope-Intercept Form

  2. Intercepts X-intercept Y-intercept Graph crosses the y-axis It occurs when x=0 (0, y-intercept) • Graph crosses the x axis • It occurs when y=0 • (x- intercept, 0)

  3. y x - intercept X y - intercept

  4. slope y-intercept Slope-Intercept Formy = mx + b

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

  6. If the equation is not in y=mx +b form…. Solve for y

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

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

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

  10. 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

  11. Using y-intercept and slope, graph:

  12. Using y-intercept and slope, graph:

  13. Using y-intercept and slope, graph:

  14. How to Identify the x-intercept Algebraically Geometrically Look at where the graph crosses the x axis (can only be done if graph is precise) • Set y=0 and solve for x

  15. Identify the x-intercept: y-10 = -5x Algebraically Geometrically

  16. AssignmentTB: Page 62 (1,2,4-24 even, 29-33 all)

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