Answer:
A. y = 4/3 x + 16/3.
C. 8x - 6y = 38
D. 9y = 12x - 27/4
F. 4x - 3y = 12.
Step-by-step explanation:
A rhombus has parallel opposite sides so the lines will have the same slope as:
3y - 4x = 35
We convert to slope- intercept form:
3y = 4x + 35
y = 4/3 x + 35/3
- so the slope of this line is 4/3.
Now the opposite side will also have a slope of 4/3 but a different y-intercept.
So A. y = 4/3 x + 16/3 is one of the required equations.
8x - 6y = 38
6y = 8x - 38
y = 4/3 x - 38/6. (C)
- The same slope, so this could also be one of the required equations.
9y = 12x - 27/4
y = 4/3 x - 27/36 (D)
- so this could also be one of the required equations.
4x - 3y = 12
3y = 4x - 12
y = 4/3 x - 4.
This is one also (F).
B and E have slopes of 3/4 and -2 so could not be models for the opposite side.
