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

8x-5y=-11

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline8x5y=118x-5y=-11\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline8x5y=118x-5y=-11\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.8x5(0)=118x - 5(0) = -118x=118x = -11x=118x = \frac{-11}{8}
  2. Finding the y-intercept: The x-intercept is the point where the line crosses the x-axis, so the y-coordinate is 00.\newlineTherefore, the x-intercept is (118,0)\left(-\frac{11}{8}, 0\right).
  3. Finding the y-intercept: The x-intercept is the point where the line crosses the x-axis, so the y-coordinate is 00.\newlineTherefore, the x-intercept is (118,0)(-\frac{11}{8}, 0).To find the y-intercept, we set xx to 00 and solve for yy.\newline8(0)5y=118(0) - 5y = -11\newline5y=11-5y = -11\newliney=115y = \frac{-11}{-5}\newliney=115y = \frac{11}{5}
  4. Finding the y-intercept: The x-intercept is the point where the line crosses the x-axis, so the y-coordinate is 00.\newlineTherefore, the x-intercept is (118,0)(-\frac{11}{8}, 0).To find the y-intercept, we set xx to 00 and solve for yy.\newline8(0)5y=118(0) - 5y = -11\newline5y=11-5y = -11\newliney=115y = \frac{-11}{-5}\newliney=115y = \frac{11}{5}The y-intercept is the point where the line crosses the y-axis, so the x-coordinate is 00.\newlineTherefore, the y-intercept is (118,0)(-\frac{11}{8}, 0)00.

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