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