Question

Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.

Answer 1

y = -3/8x -41/8

Explanation:

Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.

Therefore the slope changes from 8/3 to -3/8.

Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).

The result is b = -41/8 so our new equation is:

y = -3/8x -41/8