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I need to write an equation of the line containing the given point and parallel to the given line in y=mx+b form (7,9);x+4y=7......can you please help me find the solution

2 answers

easiest way:

since the two lines are parallel, they will differ only in the constant.
so let the new line by x + 4y = k
but (7,9) lies on it
so 7 + 4(9) = k
k = 43 for an equation of x + 4y = 43

change to y = mx + b form
4y = -x + 43
y = (1/4)x + 43/4
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