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.
