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Determine the intercepts of the line.
Do not round your answers.

-5x+9y=-18

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline5x+9y=18-5x+9y=-18\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline5x+9y=18-5x+9y=-18\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)
  1. Finding the x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    5x+9(0)=18-5x + 9(0) = -18
    5x=18-5x = -18
    x=185x = \frac{-18}{-5}
    x=185x = \frac{18}{5}
    The x-intercept is at (185,0)(\frac{18}{5}, 0).
  2. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newline5(0)+9y=18-5(0) + 9y = -18\newline9y=189y = -18\newliney=189y = \frac{-18}{9}\newliney=2y = -2\newlineThe y-intercept is at (0,2)(0, -2).

More problems from Standard form: find x- and y-intercepts