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

{:[-7x-6y=-15],[y"-intercept: "(◻","◻)],[x"-intercept: "(◻","◻)]:}

Determine the intercepts of the line.\newlineDo not round your answers.\newline7x6y=15y-intercept: (,)x-intercept: (,) \begin{array}{l} -7 x-6 y=-15 \\ y \text {-intercept: }(\square, \square) \\ x \text {-intercept: }(\square, \square) \end{array}

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline7x6y=15y-intercept: (,)x-intercept: (,) \begin{array}{l} -7 x-6 y=-15 \\ y \text {-intercept: }(\square, \square) \\ x \text {-intercept: }(\square, \square) \end{array}
  1. Find y-intercept: Find the y-intercept of the line.\newlineThe y-intercept occurs when x=0x = 0. To find the y-intercept, substitute x=0x = 0 into the equation and solve for yy.\newline7(0)6y=15-7(0) - 6y = -15\newline6y=15-6y = -15\newliney=15/6y = -15 / -6\newliney=5/2y = 5/2\newlineThe y-intercept is (0,5/2)(0, 5/2).
  2. Find x-intercept: Find the x-intercept of the line.\newlineThe x-intercept occurs when y=0y = 0. To find the x-intercept, substitute y=0y = 0 into the equation and solve for xx.\newline7x6(0)=15-7x - 6(0) = -15\newline7x=15-7x = -15\newlinex=15/7x = -15 / -7\newlinex=15/7x = 15/7\newlineThe x-intercept is (15/7,0)(15/7, 0).