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Determine the intercepts of the line. Do not round your answers. {:[y=4x+7],[x"-intercept: "(◻","◻)],[y"-intercept: "(◻","◻)]:}

Determine the intercepts of the line.\newlineDo not round your answers.\newliney=4x+7x-intercept: (□,□)y-intercept: (□,□) \begin{array}{l} y=4 x+7 \\ x \text {-intercept: }(\square, \square) \\ y \text {-intercept: }(\square, \square) \end{array}

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Standard form: find x- and y-interceptsright chevron icon

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney=4x+7x-intercept: (□,□)y-intercept: (□,□) \begin{array}{l} y=4 x+7 \\ x \text {-intercept: }(\square, \square) \\ y \text {-intercept: }(\square, \square) \end{array}
  1. Find x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    y=4x+7y = 4x + 7
    0=4x+70 = 4x + 7
    Subtract 77 from both sides to isolate the term with xx.
    0−7=4x+7−70 - 7 = 4x + 7 - 7
    −7=4x-7 = 4x
    Now, divide both sides by 44 to solve for xx.
    0011
    0022
    The x-intercept is at 0033).
  2. Find y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.\newliney=4x+7y = 4x + 7\newliney=4(0)+7y = 4(0) + 7\newliney=0+7y = 0 + 7\newliney=7y = 7\newlineThe y-intercept is at (0,7)(0, 7).

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