Question 1108962: What is the equation of the line that is parallel to y=2x-7 and passes through (5, -1) Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39621) (Show Source):
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What is the equation of the line that is parallel to y = 2x-7 and passes through (5, -1)
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The given line has the slope of 2.
Since the projected/requested line is parallel to the given line, it also has the slope of 2.
Hence, the projected/requested line has an equation of the form y = 2x + b with unknown coefficient "b".
To find "b", simply substitute the coordinates of the given point p and q as x and y respectively into this equation y = 2x + b.
You will get
-1 = 2*5 + b,
which implies b = -1 - 2*5 = -1 - 10 = -11.
Thus your final equation of the projected/requested straight line in slope-intercept form is
y = 2x - 11.
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