Problem

Find and graph the intercepts.
Question 5
\[
\frac{-1}{5} x-\frac{1}{3} y=1
\]

Answer

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Answer

The x-intercept is \(\boxed{-5}\) and the y-intercept is \(\boxed{-3}\).

Steps

Step 1 :Set x to 0 in the equation to find the y-intercept.

Step 2 :The equation becomes \(-\frac{1}{3} y = 1\).

Step 3 :Solving for y, we get y = -3.

Step 4 :Set y to 0 in the equation to find the x-intercept.

Step 5 :The equation becomes \(-\frac{1}{5} x = 1\).

Step 6 :Solving for x, we get x = -5.

Step 7 :The x-intercept is \(\boxed{-5}\) and the y-intercept is \(\boxed{-3}\).

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