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Find the x - and y-intercepts for the graph of the following equation. y=(1)/(3)x-4

Find the xx- and yy-intercepts for the graph of the following equation.\newliney=13x−4y=\frac{1}{3}x-4

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Q. Find the xx- and yy-intercepts for the graph of the following equation.\newliney=13x−4y=\frac{1}{3}x-4
  1. Find y-intercept: To find the y-intercept, we set xx to 00 and solve for yy. \newliney=(13)(0)−4y = \left(\frac{1}{3}\right)(0) - 4\newliney=−4y = -4\newlineThe y-intercept is the point where the graph crosses the y-axis, which occurs at (0,y)(0, y).
  2. Calculate y-intercept: Now, to find the x-intercept, we set yy to 00 and solve for xx.0=(13)x−40 = (\frac{1}{3})x - 4To isolate xx, we add 44 to both sides of the equation.(13)x=4(\frac{1}{3})x = 4Next, we multiply both sides by 33 to solve for xx.x=4×3x = 4 \times 30000The x-intercept is the point where the graph crosses the x-axis, which occurs at 0011.

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