Question

What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?

Answer 1

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.