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

-6x+3y=-7

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline6x+3y=7-6x+3y=-7\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline6x+3y=7-6x+3y=-7\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.
    6x+3(0)=7-6x + 3(0) = -7
    6x=7-6x = -7
    x=76x = \frac{-7}{-6}
    x=76x = \frac{7}{6}
    The x-intercept is at (76,0)(\frac{7}{6}, 0).
  2. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newline6(0)+3y=7-6(0) + 3y = -7\newline3y=73y = -7\newliney=73y = \frac{-7}{3}\newlineThe y-intercept is at (0,73)(0, \frac{-7}{3}).

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