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

y+5=2(x+1)

y-intercept: 
(◻,◻)

x-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newliney+5=2(x+1)y+5=2(x+1)\newliney-intercept: \newline(,)(\square,\square)\newlinex-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney+5=2(x+1)y+5=2(x+1)\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.\newliney+5=2(0+1)y + 5 = 2(0 + 1)\newliney+5=2y + 5 = 2\newliney=25y = 2 - 5\newliney=3y = -3\newlineThe y-intercept is at (0,3)(0, -3).
  2. Finding the x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    0+5=2(x+1)0 + 5 = 2(x + 1)
    5=2x+25 = 2x + 2
    52=2x5 - 2 = 2x
    3=2x3 = 2x
    x=32x = \frac{3}{2}
    The x-intercept is at (32,0)(\frac{3}{2}, 0).

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