algebra

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Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the fory y=mx+b.

(8,9); 7x+y=2
the equation of the line is y=?

• algebra -

given line 7x+y=2 or
y = -7x + 2
the slope of the given line is -7 so the slope of the new line is +1/7

then y = (1/7)x + b
plug in the point
9 = (1/7)(8) + b
63 = 8 + 7b
b = 55/7

so y = (1/7)x + 55/7

check:
Ls = 9
Rs = (1/7)(8) + 55/7 = 63/7 = 9 , Yeah!

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