Does anyone get this ? if so can u lmk the answer thx:)

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.

a)   

The equation of the straight line CD is    

Step-by-step explanation:

Step(i):-

Given points are A (-4,0) and B( 0,3)

Slope of the line

Slope of the line    

Step(ii):-

The equation of the straight line passing through the point ( -4,0) and having slope    

y - y₁ = m(x-x₁)

The equation of the straight line AB is    

Step(iii):-

CD is parallel to the line AB

The equation of the straight line AB is    

                                     4 y = 3 x + 12

                                    3x - 4y +12 =0

The equation of the Parallel line is   3 x -4y +k=0

Passes through the point ( 0,3)

                                 -12 +k=0

                                      k =12

The equation of the Parallel line is   3 x -4y +12=0

                                                       4 y = 3 x+12

The equation of the straight line CD is    

okay so 15.15 *()5: +5/6

step-by-step explanation:

the answer is a

step-by-step explanation:

because your just changing the position of where the shape is