Question 197345
Find an equation of the line that satisfies the given conditions.
through (10, 2); perpendicular to the line x - 4y + 4 = 0 
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1st: Find the slope of the given line.
x - 4y +4 = 0
4y = x+4
y = (1/4)x + 1
slope = 1/4
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2nd: The slope of all lines that are perpendicular 
to the given line is -4.
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3rd: Find the equation of the perpendicular line:
Form y = mx+b
You know y = 2 when x = 10, and you know m = -4
Solve for "b".
2 = -4*10 + b
b = 42
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Equation:
y = -4x + 42
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Cheers,
Stan H.