Question

Write an equation of the line perpendicular to 3x+4y=-16 passing through (12,4) in slope-intercept form.

Answer 1

Ok so, when you have a line with a slope, say (m).

A perpendicular line will have a slope of (-1/m).
- This is referred to as the 'opposite reciprocal' or 'negative reciprocal', though "Opposite" is the correct mathematical term for 'negative'.

Answer 2

So first, let's get this linear line (Which is in Standard Form: Ax + By = C) and turn it into Slope Intercept Form, so we can see what (m) is.

Answer 3

Do you know how to do that?

Answer 4

y=-3/4x-4