Question

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals -4.

5x + 3y = 4
5x - 3y =-4
4x + 16y = -20
6x + 2y = -8

Answer 1

ok for each equation do the X and Y intercept do you know how?

Answer 2

\[5x + 3(0) = 4\]
\[5(0) + 3y = 4\]

Answer 3

no, i really don't understand any of this, i am super behind in algebra and thought i remembered this stuff but i was sorely mistaken : ((

Answer 4

ok solve the equations i gave :)

Answer 5

I see hows its done.

Answer 6

okay, the first equation is ... 5x+3(0)=4 ... so first i multiply 3 * 0, which equals 0 of course. then the equation is 5x + 0 = 4, so we simplify it to 5x = 4.
The second equation is ... 5(0)+3y=4 ... so that equation turns out to be 3y = 4 after we do the steps above again. is that correct ?

Answer 7

im not sure...anymore ;-; im gonna let someone else take this one this is confusing,,,

Answer 8

@sleepyjess @TheSmartOne

Answer 9

thats fine, i understand ! hopefully someone else can help

Answer 10

@pooja195 I think you are doing it right with the two equation things.

Answer 11

Idk either. But the equation part is correct i think. :)

Answer 12

idk

Answer 13

ill try

Answer 14

if thats the case then \[3y = 4 \] divide by 3 so 4/3
and then same with the other equation \[5x=4\] divide by 5 so 5/4

Answer 15

Right now, let's just use y = mx + b, then convert it to standard form. We know that the slope is negative, so -m, and that the y intercept is -4. So that gives us y = -mx - 4

Answer 16

Maybe... this is confusing. I know the answer, but I don't know how to explain. Or at least I think I know the answer

Answer 17

@amistre64 do you know?

Answer 18

when x=0, y=-4 is a solution that we can narrow the options with

Answer 19

theres only one option that satisfies this criteria

Answer 20

... 5x - 3y = -4 ?? :oo

Answer 21

Naw, I don't think that one is it.....because rearranging it you get 3y = 5x + 4
no -4, no negative slope, can't be.

Answer 22

Hmmm.. This is hard !!! Grr

Answer 23

The post by @sleepyjess tells you how to solve it, amistre64 shows a practical way to spot the correct solution. There is only one when placed in the slope intercept form has an intercept of -4.

Answer 24

Oh, so I was on the right track...

Answer 25

there were tracks?

Answer 26

yes, wise-tracks lol

Answer 27

lol

Answer 28

OK harley_may looking at the first two can you see we can eliminate them because the intercept is not a negative ?

Answer 29

Yes, I think I get that

Answer 30

those would be positive as well as improper value. Now look at the third one...what do you think. 4x + 16y = -20

Answer 31

First for kicks divide thru by 4 and look at it again.

Answer 32

Do you see: x + 4y = -5 intercept is negative but alas it is not a -4.

Answer 33

ohhh, i get that ! okay

Answer 34

finally look at the last one, 6x + 2y = -8 lets follow sleepyjess suggestion

2y = -6x -8
y=-3x - 4 in slope intercept form. what you think?

Answer 35

i see a negative four in there !! is that the answer ?

Answer 36

Yes, it has a negative slope (-6) and an intercept of -4
A perfect candidate .

Answer 37

thank you so so so much !!!

Answer 38

You're welcome, and wishing you good luck with your studies.