Question

State whether every point on the graph is a solution of the equation.

Explain why or why not.

x – 4y = –4



A.
Every point shown on the graph is not a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is not true for all the points.

B.
Every point shown on the graph is a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is true for all the points.

Answer 1

hint:
let's consider the point (3,2)
if we set x=2 and y=3 into your equation, we get:

left side= 3-4*2=3-8=-5
whereas the right side is:
-4

Answer 2

oops..if we set x=3 and y=2...

Answer 3

now, let's consider the point (1,1)
again setting x=1 and y=1, we get:
left side=1-4*1=1-4=-3
right side =-4

Answer 4

finally if we consider the point (-4,0), and we set x=-4 and y=0, we get:
left side = -4-4*0=-4
right side = -4

Answer 5

um question
wasnt it 0,1 not 1.1?

Answer 6

so, what can we conclude?

Answer 7

1,1*

Answer 8

right! sorry
let's consider the point (0,1)
then if we set x=0, and y=1, we get:
left side = 0-4*1=-4
right side = -4

Answer 9

thanks!

Answer 10

so its B?

Answer 11

are you sure? think about the point (3,2)

Answer 12

oh

Answer 13

we have:
left side =3-4*2=3-8=-5
right side = -4

Answer 14

thank you!

Answer 15

so the answer is B?

Answer 16

I think it is A, since the coordinates of the point (3,2) doesn't make your equation an identity

Answer 17

oh
thank you!

Answer 18

thank you!