find the equation of a line through (2,4) and parallel to y= 4x-2. write equation using function notation
1 answer:
Parallel lines have the same slope.
We have y = 4x - 2 → slope m = 4.
Therefore we have y = 4x + b. Put the coordinates of the point (2, 4) to the equation of line:
4 = 4(2) + b
4 = 8 + b <em>subtract 8 from both sides</em>
-4 = b → b = -4
<h3>Answer: y = 4x - 4</h3>
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