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Which of the following equations represents a line that is parallel to the line y = 4x - 8 and passes through the point (2, 3) ?
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y = 4x - 5 |
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y = (1/4)x + 0 |
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y = 4x -15 |
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y = -(1/4)x - 2 |
Explanation
First, find the slope of the line y=4x-8 by putting it in the form y=mx+b. The variable m is the slope. Since it is already in the proper form, we know the slope is 4. Next, identify which of the answers has slope equal to 4. Then, plug in the point x=2 and y=3 into the eligible answers and see which one satisfies the equality. Obviously, 4x-5 gives 8-5 for x = 2, which yields a value for y that equals 3.
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