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Find the
x - and
y-intercepts for the graph of the following equation.

y=(1)/(3)x-4

Find the $x$ - and $y$ -intercepts for the graph of the following equation. $\newline$ $y=\frac{1}{3}x-4$

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Midpoint formula: find the midpoint

Full solution

Q. Find the

x

- and

y

-intercepts for the graph of the following equation.

\newline

y=\frac{1}{3}x-4

Find y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $y = \left(\frac{1}{3}\right)(0) - 4$ $\newline$ $y = -4$ $\newline$ The y-intercept is the point where the graph crosses the y-axis, which occurs at $(0, y)$ .
Calculate y-intercept: Now, to find the x-intercept, we set $y$ to $0$ and solve for $x$ . $0 = (\frac{1}{3})x - 4$ To isolate $x$ , we add $4$ to both sides of the equation. $(\frac{1}{3})x = 4$ Next, we multiply both sides by $3$ to solve for $x$ . $x = 4 \times 3$ $0$ $0$ The x-intercept is the point where the graph crosses the x-axis, which occurs at $0$ $1$ .

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