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

y=-9x-14

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newliney=9x14y=-9x-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.\newliney=9x14y=-9x-14\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=9x14y = -9x - 14
    0=9x140 = -9x - 14
    Add 1414 to both sides to isolate the term with xx.
    0+14=9x14+140 + 14 = -9x - 14 + 14
    14=9x14 = -9x
    Now, divide both sides by 9-9 to solve for xx.
    0011
    0022
    The x-intercept is at the point 0033.
  2. Solving for x: To find the y-intercept, we set xx to 00 and solve for yy.\newliney=9x14y = -9x - 14\newliney=9(0)14y = -9(0) - 14\newliney=14y = -14\newlineThe y-intercept is at the point (0,14)(0, -14).

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