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

9x-7y=14

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline9x7y=149x-7y=14\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline9x7y=149x-7y=14\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)
  1. Finding x-intercept: To find the x-intercept, we set y=0y = 0 and solve for xx.\newline9x7(0)=149x - 7(0) = 14\newline9x=149x = 14\newlinex=149x = \frac{14}{9}
  2. Finding 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 (149,0)\left(\frac{14}{9}, 0\right).
  3. Finding 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 (149,0)\left(\frac{14}{9}, 0\right).To find the y-intercept, we set x=0x = 0 and solve for yy.\newline9(0)7y=149(0) - 7y = 14\newline7y=14-7y = 14\newliney=147y = \frac{14}{-7}\newliney=2y = -2
  4. Finding 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 (149,0)\left(\frac{14}{9}, 0\right).To find the y-intercept, we set x=0x = 0 and solve for yy.\newline9(0)7y=149(0) - 7y = 14\newline7y=14-7y = 14\newliney=147y = \frac{14}{-7}\newliney=2y = -2The y-intercept is the point where the line crosses the y-axis, so the x-coordinate is 00.\newlineTherefore, the y-intercept is (0,2)(0, -2).

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