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

y=11 x+6

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newliney=11x+6y=11x+6\newlinex-intercept:\newline(,)(\square,\square)\newliney-intercept:\newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney=11x+6y=11x+6\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.
    y=11x+6y = 11x + 6
    0=11x+60 = 11x + 6
    Subtract 66 from both sides to isolate the term with xx.
    06=11x+660 - 6 = 11x + 6 - 6
    6=11x-6 = 11x
    Now, divide both sides by 1111 to solve for xx.
    0011
    0022
    The x-intercept is at the point 0033.
  2. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newliney=11x+6y = 11x + 6\newliney=11(0)+6y = 11(0) + 6\newliney=0+6y = 0 + 6\newliney=6y = 6\newlineThe y-intercept is at the point (0,6)(0, 6).

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