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

2x+5y=-6

y-intercept: 
(◻,◻)

x-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline2x+5y=62x+5y=-6\newliney-intercept: \newline(,)(\square,\square)\newlinex-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline2x+5y=62x+5y=-6\newliney-intercept: \newline(,)(\square,\square)\newlinex-intercept: \newline(,)(\square,\square)
  1. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newline2(0)+5y=62(0) + 5y = -6\newline5y=65y = -6\newliney=65y = \frac{-6}{5}\newlineThe y-intercept is at (0,65)(0, \frac{-6}{5}).
  2. Finding the x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    2x+5(0)=62x + 5(0) = -6
    2x=62x = -6
    x=62x = \frac{-6}{2}
    x=3x = -3
    The x-intercept is at (3,0)(-3, 0).

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