Question

The equation of a line is y equals 4 over 3 x minus 5 over 3.

What would be the slope of a line perpendicular to this line?

A. -3/4
B. 5/3
C. -4/3
D. 3/5

Answer 1

The answer to this math problem is A

Answer 2

-3/4

Explanation:

So you have the equation:
`y=(4)/(3)x-(5)/(3)`. For a perpendicular line, the only thing that matters is the slope. The slope of the perpendicular line can be defined as:
`(a)/(b) = > -(b)/(a)`. It's the reciprocal with the sign being the opposite. So if the sign of the original line was negative it's now positive, and if it's positive, it's not negative. The fraction is also flipped, even if it's an integer, it can be defined as a fraction e.g (
`6 = > -(1)/(6)` (sign also changed too))

So in this case the slope is 4/3x, since it's given in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept. So we flip it to get 3/4 and change the sign to negative to get -3/4