Question

Change this to slope - intercept form :)
medal and fan !

2x − 5y = −15

Answer 1

Slope intercept form is y = mx+b, so solve for y.

Answer 2

well to do that i would need to know how im not great at solving for y in this :/

Answer 3

move x to the other side

Answer 4

Try subtracting 2x from both sides, what happens?

Answer 5

5y = -15 - 2x ?

Answer 6

or is it + instead of -?

Answer 7

id put the -2x before -15

Answer 8

+15 to both sides

Answer 9

its also a -5y

Answer 10

Here, \[\color{red}{-2x}+2x-5y=-15 \color{red}{-2x}\] notice what I do to one side I also do it to the other, this really shows that the equation is still the same, but we're just changing the location of the variables/ numbers.

Answer 11

So it will get cancelled on the left side -2x+2x = 0 right?

Answer 12

yes i already knew that @Astrophysics

Answer 13

on both sides, +15, +5y then solve for y

Answer 14

Now we have \[-5y=-15-2x\] what can we do?

Answer 15

minus 15 ? @Astrophysics

Answer 16

it does not matter whether the y is on the right side or left side.
3 = y and y = 3 are the same

Answer 17

so you have -5y=-2x-15. first multiply -2x-15 by -1
-(-2x-15)

Answer 18

then divide that by 5

Answer 19

Not quite Mystic we want to solve for y, so we can leave the right side alone, solving for y means we want y by itself. So notice that the -5 is "attached" to the y there, which means it's being multiplied by the y, so what it means is \[-5 \times y = -15-2x\] that's what is going on, but it looks convoluted so we write -5y.

Now think to yourself what we can do here, your best bet would be to use the opposite operation of what already exists, so in this case we can use division. \[\frac{ -5y }{ \color{red}{-5} }=\frac{ -15-2x }{ \color{red}{-5} }\]

Answer 20

okay so would we take the -15 divided by -5? or take -15 - 2 then divide?
@Astrophysics

Answer 21

We divide the whole right side by -5

Answer 22

\[y=\frac{ \left( -15-2x \right) }{ -5 }\] maybe this is more clear, you can simplify it more if you like

Answer 23

umm okay i just 3.4x ;/

Answer 24

how do you divide that?

Answer 25

no

Answer 26

it is actually easier to work with when your slope is in fractional form

Answer 27

\[y=\frac{ \left( -15-2x \right) }{ -5 } \implies y = \frac{ -15 }{ -5 }-\frac{ 2x }{ -5 }\] you can break it up as such, you will have it in the form y = mx+b

Answer 28

Can you simplify that?

Answer 29

3 + -2.5x or -0.4x?

Answer 30

\[y=3+\frac{ 2 }{ 5 }x ~~~ or ~~~ y= \frac{ 2 }{ 5 }x+3\]

Answer 31

ah gotcha, you put it in decimal form,

i have a question though, would 2/5 be a positive or negative slope?

Answer 32

It's positive, if it was negative there would be a negative sign indicating so, remember slope is rise/run up 2 and 5 right

Answer 33

okay i wasnt sure ,since its less then 1, thanks so much @Astrophysics !

Answer 34

Yw