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

4x-1=3y+5

x-intercept: 
(◻,◻)

y-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newline4x1=3y+54x-1=3y+5\newlinex-intercept: \newline(,)(\square,\square)\newliney-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newline4x1=3y+54x-1=3y+5\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.
    4x1=3(0)+54x - 1 = 3(0) + 5
    4x1=54x - 1 = 5
    4x=64x = 6
    x=64x = \frac{6}{4}
    x=32x = \frac{3}{2}
    The x-intercept is at (32,0)(\frac{3}{2}, 0).
  2. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.
    4(0)1=3y+54(0) - 1 = 3y + 5
    1=3y+5-1 = 3y + 5
    3y=153y = -1 - 5
    3y=63y = -6
    y=6/3y = -6 / 3
    y=2y = -2
    The y-intercept is at (0,2)(0, -2).

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