Answer:
[tex]D)\ -1,0[/tex]
Step-by-step explanation:
Given
[tex]4x - 3y= -4[/tex]
Required
Determine which of the options is on the line
The question requires options.
However, I'll answer using the following:
[tex]A) -3, 4[/tex]
[tex]B) -4,3[/tex]
[tex]C)\ 3, 4[/tex]
[tex]D)\ -1,0[/tex]
A point is always of the form (x,y).
So, we have to substitute values for x and y in the given equation
Considering option A:
[tex](x,y)= (-3,4)[/tex]
Substitute [tex]-3\ for\ x\ and\ 4\ for\ y[/tex] in [tex]4x - 3y= -4[/tex]
[tex]4(-3) -3(4) = -4[/tex]
[tex]-12 -12 = -4[/tex]
[tex]-24 \neq -4[/tex]
The above represents an inequality.
Hence, -3,4 does not lie on the equation
Considering option B:
[tex](x,y) = (-4,3)[/tex]
Substitute [tex]-4\ for\ x\ and\ 3\ for\ y[/tex] in [tex]4x - 3y= -4[/tex]
[tex]4(-4) - 3(3) = -4[/tex]
[tex]-16 - 9 = -4[/tex]
[tex]-25 \neq -4[/tex]
The above represents an inequality.
Hence, -4,3 does not lie on the equation
Considering option C:
[tex](x,y) = (3,4)[/tex]
Substitute [tex]3\ for\ x\ and\ 4\ for[/tex] y in [tex]4x - 3y= -4[/tex]
[tex]4(3) - 3(4) = 4[/tex]
[tex]12 - 12 = 4[/tex]
[tex]0 \neq 4[/tex]
The above represents an inequality.
Hence, 3,4 does not lie on the equation
Considering Option D:
[tex](x,y) = (-1,0)[/tex]
Substitute [tex]-1\ for\ x\ and\ 0\ for[/tex] y in [tex]4x - 3y= -4[/tex]
[tex]4(-1) - 3(0) = -4[/tex]
[tex]-4 - 0 = -4[/tex]
[tex]-4 = -4[/tex]
The above represents an equality.
So, -1,0 lies on the equation
