Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6
? 1. 3x + 4y = 18 2. 4x + 3y = 10 3. −3x + 4y = 30 4. −4x + 3y = 26?
1 answer:
Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.
Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.
Then the new line is 3x - 4y = 30.
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Answer:
3(y+6)=30
3y + 18 = 30
18 - 30 = 3y
12 = 3y
12/3 = y
4 = y
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