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5.3 Standard Form

5.3 Standard Form. Objective : SWBAT find x- and y-intercepts and graph lines in standard form. Mini Quiz 42. Find the slope and y-intercept of Write an equation of a line with a slope m = 4 and y-intercept b = Determine whether the ordered pair (2, -7) lies on the graph y = -3 x – 1.

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5.3 Standard Form

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  1. 5.3 Standard Form Objective: SWBAT find x- and y-intercepts and graph lines in standard form.

  2. Mini Quiz 42 • Find the slope and y-intercept of • Write an equation of a line with a slope m = 4 and y-intercept b = • Determine whether the ordered pair (2, -7) lies on the graph y = -3x – 1

  3. Quick Review • What is the Slope Formula? • What is the Slope-Intercept Form? y = mx + b • How do you check if a point is on the line? Plug it in! If it’s =, it’s on the line • How do you find rate of change? Take the independent “over” the dependent

  4. Overview • Learn about the standard form • Finding x- and y- intercepts with standard form • Graphing Lines Using Intercepts • Graphing Horizontal and Vertical Lines • Transforming to Standard Form So far, we have learned slope-intercept form… y = mx + b

  5. Standard Form Ax +By =C A, B, and C are integers Examples: 2x + 5y = 6 x – 3y = -7

  6. x- and y-intercepts • How do you write the ordered pair of any point on the x-axis? (x, 0) • How do you write the ordered pair of any point on the y-axis? (0, y)

  7. Find the x- and y-intercepts 1. 2x + 6y = 36 How do you write the ordered pair for a point on the x-axis? (x, 0) – replace the “0” for y 2x + 6(0) = 36 2x = 36 x = 18 (18, 0) How do you write the ordered pair for a point on the y-axis? (0, y) – replace the “0” for x 2(0) + 6y = 36 6y = 36 y = 6 (0, 6)

  8. Find the x- and y-intercepts 2. -3x + 2y = -12 How do you write the ordered pair for a point on the x-axis? (x, 0) -replace the “0” for y -3x + 2(0) = -12 -3x = -12 x = 4 (4, 0) How do you write the ordered pair for a point on the y-axis? (0, y) – replace the “0” for x -3(0) + 2y = -12 2y = -12 y = -6 (0, -6)

  9. Find the x- and y-intercepts 3. -2x – 3y = -8 How do you write the ordered pair for a point on the x-axis? (x, 0) -2x – 3(0) = -8 -2x = -8 x = 4 (4, 0) How do you write the ordered pair for a point on the y-axis? (0, y) -2(0) – 3y = -8 -3y = -8 y = 8/3 (0, 8/3)

  10. Find the x- and y-intercepts 4. 8x – 3y = 17 How do you write the ordered pair for a point on the x-axis? (x, 0) 8x – 3(0) = 17 8x = 17 x = 17/8 (17/8, 0) How do you write the ordered pair for a point on the y-axis? (0, y) 8(0) – 3y = 17 -3y = 17 y = -17/3 (0, -17/3)

  11. Graph by using the x- and y-intercepts 5. 3x + 4y = 24 • How do you write the ordered pair for a point on the x-axis? (x, 0) 3x = 24 x = 8 (8, 0) • How do you write the ordered pair for a point on the y-axis? (0, y) 4y = 24 y = 6 (0, 6)

  12. Graph by using the x- and y-intercepts 6. -3x – 2y = -6 • How do you write the ordered pair for a point on the x-axis? (x, 0) -3x = -6 x = 2 (2, 0) • How do you write the ordered pair for a point on the y-axis? (0, y) -2y = -6 y = 3 (0, 3)

  13. Graph by using the x- and y-intercepts 7. -2x + 3y = -18 • How do you write the ordered pair for a point on the x-axis? (x, 0) -2x = -18 x = 9 (9, 0) • How do you write the ordered pair for a point on the y-axis? (0, y) 3y = -18 y = -6 (0, -6)

  14. Graph by using the x- and y-intercepts 8. x + 4y = -8 • How do you write the ordered pair for a point on the x-axis? (x, 0) x = -8 (-8, 0) • How do you write the ordered pair for a point on the y-axis? (0, y) 4y = -8 y = -2 (0, -2)

  15. Graphing Horizontal and Vertical Lines • 10. y = -4 • 12. y = 2 • x = 3 11. x = -4

  16. Change to Standard Form • Write in standard form -3x + 4y = 8 14. Write in standard form 2x + 5y = 5

  17. Wrap Up • Standard Form • Ax + By = C • Finding and Graphing x- and y-intercepts • Horizontal and Vertical Lines • Change to Standard HW: P. 249 #1-61 EOO, 69 – 77 odd DLUQ: How do you find the x- and y-intercepts

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