Answer:
Y=4
Step-by-step explanation:
The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.
Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is



The slope of line AB is
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD = 
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
Slope of line CD is
, it means the line must be of the form

Coefficient of x is
only in option a.
Therefore, the correct option is a.
In order to get the value of x you have to set x by itself subtract from both sides because the only way to get rid of a positve its with a negative now you have 5x=6, now divide 5 from both sides because the only way to get rid of a multiplication is with a division, this will give you the final answer of x=6/5
Hope this helps