Answer:
6
Step-by-step explanation:
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
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\dfrac{3-0}{0-(-4)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B3-0%7D%7B0-%28-4%29%7D)
![m=\dfrac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B3%7D%7B4%7D)
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 = ![\dfrac{3}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D)
The slope intercept form of a line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where, m is slope and b is y-intercept.
Slope of line CD is
, it means the line must be of the form
![y=\dfrac{3}{4}x+b](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B4%7Dx%2Bb)
Coefficient of x is
only in option a.
Therefore, the correct option is a.
Answer:
Here's link to the answer:
bittuly/3a8Nt8
Step-by-step explanation:
Answer: The Total $110
Step-by-step explanation:
I hope this is what you are looking for