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Instructions: Find the x𝑥 and y𝑦-intercepts of the linear function. Linear Function: 3x−5y=−153𝑥−5𝑦=−15x𝑥-Intercept: (( ,, ))y𝑦-Intercept: (( ,, )

Question

Instructions:

Find the x and y-intercepts of the linear function.

Linear Function:

3x5y=15 3x - 5y = -15

x-Intercept: ((,,)) (( ,, ))

y-Intercept: ((,,)) (( ,, ))

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Solution

To find the x-intercept, we set y = 0 and solve for x.

The equation becomes: 3x - 5(0) = -15 3x = -15 x = -15 / 3 x = -5

So, the x-intercept is (-5, 0).

To find the y-intercept, we set x = 0 and solve for y.

The equation becomes: 3(0) - 5y = -15 -5y = -15 y = -15 / -5 y = 3

So, the y-intercept is (0, 3).

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