Find the x- and y-intercepts if the graph of -9x+2y=14. State your answers as whole numbers or as improper fractions in simplest form.

9514 1404 393

  x-intercept: -14/9

  y-intercept: 7

Step-by-step explanation:

This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.

  -9x = 14 . . . . . set y=0

  x = -14/9 . . . . divide by -9

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To find the y-intercept, set x=0 and divide both sides by the coefficient of y.

  2y = 14 . . . . set x=0

  y = 7 . . . . . . divide by 2

The x-intercept is -14/9; the y-intercept is 7.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

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step-by-step explanation: