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4x-1=3y+5 x-intercept: (◻,◻) y-intercept: (◻,◻)

4x−1=3y+54x-1=3y+5\newlinex-intercept: (□,□)(\square,\square)\newliney-intercept: (□,□)(\square,\square)

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Full solution

Q. 4x−1=3y+54x-1=3y+5\newlinex-intercept: (□,□)(\square,\square)\newliney-intercept: (□,□)(\square,\square)
  1. Find x-intercept: To find the x-intercept, set yy to 00 and solve for xx. \newline4x−1=3(0)+54x - 1 = 3(0) + 5\newline4x−1=54x - 1 = 5\newline4x=64x = 6\newlinex=64x = \frac{6}{4}\newlinex=1.5x = 1.5\newlineThe x-intercept is at (1.5,0)(1.5, 0).
  2. Find y-intercept: To find the y-intercept, set xx to 00 and solve for yy.4(0)−1=3y+54(0) - 1 = 3y + 5−1=3y+5-1 = 3y + 53y=−1−53y = -1 - 53y=−63y = -6y=−6/3y = -6 / 3y=−2y = -2The y-intercept is at (0,−2)(0, -2).

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