Question

which of the following equations represents a line that is perpendicular to y= -3x+6 and passes through the point, (3, 2)

Answer 1

The equation of the line is y = 1/3x + 1

Explanation:

To find the equation of this line, start by finding the slope of the original line, which is -3. Since perpendicular lines have opposite and reciprocal slopes, we know the new line will have a slope of 1/3

Now that we have the slope, we can use that and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = 1/3(x - 3)

y - 2 = 1/3x - 1

y = 1/3x + 1