Question

What is an equation of the line that is perpendicular to y = 3x - 9and that

passes through the point (3, 1)?
y =

Answer 1

y = -1/3x + 2

Explanation:

The slope of a line that is perpendicular has an opposite inverse of the slope of the line given.

The slope of the line given is 3. The opposite inverse is -1/3.

Use the slope (-1/3), the x(3) and the y(1) to find the y-intercept (b) and to write the equation of the line.

y =mx + b

1 = -1/3(3) + b

1 = -1 + b Add 1 to both sides

2 = b

y = -1/3x + 2