Question

4. Use the equation 4x – 3y = 12

a) Find the slope of a line parallel to this line.


b) Find the slope of a line perpendicular to this line.

Answer 1

First lets solve for y

move everything to the right of the equal sign to isolate y

Answer 2

okay so it would be -3y =12 -4x?

Answer 3

Good
now we need to get rid of the -3 from y

divide everything by -3

Answer 4

y = -4 - x?

Answer 5

you got 12/-3 right

but it's not -x, it's 4/3x

Answer 6

oh my bad yeah

Answer 7

ok so the slope of this line is 4/3

Answer 8

A) parallel lines have the same slope

Answer 9

So that means the slope in a) is?

Answer 10

okay so a will just be 4/3?

Answer 11

yes

Answer 12

B) the slope of lines perpendicular is the negative reciprocal

Answer 13

so -4/3

Answer 14

close
reciprocal is flipped

so -3/4

Answer 15

oh okay thank u so much