Question

Write the equation of the line perpendicular to 3x+2y=-8 that passes through (3,1). Write in slope intercept form and show all your work.

Answer 1

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. 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