How do i found out which equations contain those points?

Question

Choose the equation(s) whose line contains the point (-5,4)

. Check all that apply.

1. y=2x+6
2. y=-5x
3. 4x=7
4. 3y=9
5. y=1/2x-1
6. x=5y=-3
7. -6x+6y=-17
8. 3x+3y=17

Thank you so much!

Answer 1

plug the point (-5,4) into each equation

the first one is y=2x+8

4=2(-5)+8

4=-10+8

4=-2

it doesn't work, 4 doesn't equal -2, so it's not on the line

y=-5x

4=-5(-5)

4=25

it doesn't work, so it's not on the line

4x=7

4(-5)=7

-20=7. it doen't work, it's no on the line

3y=9

3(4)=9,

12= 9, it doen't work, it's not on the line

y=1/2x-1

4=(1/2)(-5)-1 = -7/2

it's not on the line

x=5y=-3

-5=5(4) =-3

-5=20=-3 no matter how you interpret that equation, it doesn't work. It's not on the line

-6x+6y = -17

-6(-5)+6(4) =-17

30+24 =-17

54=-17 doen't work. It's not on the line

3x+3y = 17

3(-5)+3(4) =17

-15+12 =17

-3 = 17 it doesn't work, it's not on the line

if there had been an equation such as

x+y = -1

then

-5+4=-1

-1 =-1 then it would be on the line

the point is not on the line of any of the equations