SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line. (0,9) 4x+7y=2

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Question 437402: Write an equation of the line containing the given point and perpendicular to the given line.
(0,9) 4x+7y=2
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Write an equation of the line containing the given point and perpendicular to the given line.
(0,9) 4x+7y=2
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Find the slope of the given line:
y = (-4/7)x+(2/7)
slope = -4/7
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Any perpendicular line must have slope = 7/4
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y-intercept is 9
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Required equation is y = (7/4)x+9
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Cheers,
Stan H.
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Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
line containing point (0,9) and perpendicular to 4x+7y=2
4x+7y=2 OR y = (-4/7)x + 2/7 slope = (-4/7)
New Line: slope is the negative reciprocal of (-4/7)
y = (7/4)x + b |b is the y-intercept (0,9) 9 = b
y = (7/4)x + 9