Question

Which point is on the line described by the equation below? 4x−3y=−4

Answer 1

Answer:

$D)\ -1,0$

Step-by-step explanation:

Given

$4x - 3y= -4$

Required

Determine which of the options is on the line

The question requires options.

However, I'll answer using the following:

$A) -3, 4$

$B) -4,3$

$C)\ 3, 4$

$D)\ -1,0$

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:

$(x,y)= (-3,4)$

Substitute $-3\ for\ x\ and\ 4\ for\ y$ in $4x - 3y= -4$

$4(-3) -3(4) = -4$

$-12 -12 = -4$

$-24 \neq -4$

The above represents an inequality.

Hence, -3,4 does not lie on the equation

Considering option B:

$(x,y) = (-4,3)$

Substitute $-4\ for\ x\ and\ 3\ for\ y$ in $4x - 3y= -4$

$4(-4) - 3(3) = -4$

$-16 - 9 = -4$

$-25 \neq -4$

The above represents an inequality.

Hence, -4,3 does not lie on the equation

Considering option C:

$(x,y) = (3,4)$

Substitute $3\ for\ x\ and\ 4\ for$ y in $4x - 3y= -4$

$4(3) - 3(4) = 4$

$12 - 12 = 4$

$0 \neq 4$

The above represents an inequality.

Hence, 3,4 does not lie on the equation

Considering Option D:

$(x,y) = (-1,0)$

Substitute $-1\ for\ x\ and\ 0\ for$ y in $4x - 3y= -4$

$4(-1) - 3(0) = -4$

$-4 - 0 = -4$

$-4 = -4$

The above represents an equality.

So, -1,0 lies on the equation