Question

Determine the equation of a line perpendicular to y = - 1/3 x - 2 and going through the point (9, 2), in slope-intercept form.
​

Answer 1

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.