Question

Which is an equation of the line perpendicular to
y
=
−
3
4
x
+
1
and passes through (3, 4)?

Answer 1

Answer:

y=4/3x

Step-by-step explanation:

Hard to read the question, but if the original equation is y=-3/4x+1, then the perpendicular line is y=4/3x.

The slope of the perpendicular line is just the reciprocal of the original slope with the opposite sign (-3/4 turns to just 4/3). Then you get y=4/3x+b. Solve for b using the point given to you (3, 4). 4=(4/3)*3+b, 4=4+b, b=0. This means that the final equation is y=4/3x (perpendicular line).