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8)What is the equation of a line that goes through the point (3, 12) and is perpendicular to the line given by the equation y = -1/3x - 7?

Ay = -3x - 12

(B )y = -1/3x + 6

Cy = 3x + 3
D= (1/3x) - 6

Verified Answer :

twvogels

The slope of the first line is \(m_1=\frac{-1}{3}\).
To be perpendicular the slope of the second line must be the negative reciprocal of the first: \(m_2=3\)
Use the slope-intercept formula: 
\(y=mx+b\)
Substitute known values:
\(12=3(3)+b\)
Solve for \(b\):
\(b=3\)
Complete the formula:
\(y=3x+3\)

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