Question
What are the intercepts of 2x = 4y + 4?
Answers
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GPT 3.5
To find the intercepts of the equation 2x = 4y + 4, we can set y = 0 to find the x-intercept and set x = 0 to find the y-intercept.
1. x-intercept:
Setting y = 0 in the equation 2x = 4y + 4, we get:
2x = 4(0) + 4
2x = 4
x = 2
Therefore, the x-intercept is (2, 0).
2. y-intercept:
Setting x = 0 in the equation 2x = 4y + 4, we get:
2(0) = 4y + 4
0 = 4y + 4
4y = -4
y = -1
Therefore, the y-intercept is (0, -1).
1. x-intercept:
Setting y = 0 in the equation 2x = 4y + 4, we get:
2x = 4(0) + 4
2x = 4
x = 2
Therefore, the x-intercept is (2, 0).
2. y-intercept:
Setting x = 0 in the equation 2x = 4y + 4, we get:
2(0) = 4y + 4
0 = 4y + 4
4y = -4
y = -1
Therefore, the y-intercept is (0, -1).