Question

What is the slope of a line parallel to the line whose equation is 5x + 3y = 15?

Answer 1

slope of
\[ax+by=c\] is
\[\frac{-a}{b}\]

Answer 2

@Nnesha Can you help me understand how to solve this

Answer 3

I plugged in what he gave me and i got -1.666666666666667

Answer 4

ok so you have to solve for y

Answer 5

5x + 3y = 15
what is your first step suppose to be ???

Answer 6

Ohh. Wait I think I remember this. I would replace x with 0 right? So 5*0 + 3y = 15 so 0 + 3y = 15, so then I divide by 3? y = 5?

Answer 7

nope you don't have to plug 0
you have to keep the x
we need equation in slope intercept form
like y = mx + b

Answer 8

Ohh. Then I don't know what the first step would be

Answer 9

you have to move 5x on right side
5x is adding on left side what is opposite of add ??

Answer 10

subtract

Answer 11

yes so subtract 5x both side

Answer 12

5x + 3y = 15
-5x -5x

3y = 20x

Answer 13

you cannot combine 15 and -5x
because -5 have variable and 15 doesn't so
leave it as
3y = -5x + 15

Answer 14

now divide both side by 3

Answer 15

y = -5x + 5?

Answer 16

-5x / 3 = ???

Answer 17

well it equals -1.666666666666667 according to my calculater

Answer 18

leave it as fraction form so it should be -5x/3 not just -5x
so your equation is y = -5x/3 + 5

Answer 19

Oh ok. So then what

Answer 20

I have to leave. we can continue this tomorrow when you're available :)

Answer 21

so parallel lines have same slope

Answer 22

we can solve now we almost done :)

Answer 23

im ready when you are :)

Answer 24

yep so parallel lines have same slope

Answer 25

what is slope of that equation

Answer 26

-5?

Answer 27

y = -5x/3 + 5 your slope is -5/3 so because other line is parallel then slope gonna be same which is -5/3

Answer 28

YES! !Thank you