A line is perpendicular to y =-1/3x +7
and intersects the point (4,2).
What is the equation of this
perpendicular line?

The equation of the perpendicular line is y = 3x – 10.

Solution:

Equation of the line:

Slope of this line,

If two lines are perpendicular, then the product of their slopes equal to –1.

The line passes through the point (4, 2).

Here,

Point-slope formula:

Add 2 on both sides of the equation.

y = 3x – 10

The equation of the perpendicular line is y = 3x – 10.

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step-by-step explanation:

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