Answer:
B. y = -4x + 15
C. 16x + 4y = 9
D. y=-4X
Explanation:
Two lines are parallel if they have the same slope. The equation of a line is:
y = mx + b
Where m is the slope and b is a constant.
So, the slope of the first equation can be calculated solving the equation for y as:
8x + 2y = 7
2y = - 8x + 7
y = -4x + 7/2
So, the slope is -4.
It means that all the equations that could represent lines that could also be drawn for his art project are the equation with a slope equal to -4.
Then, for every option, we get:
A. y-1 = 4(X + 8)
y = 4x +32 +1
The slope is 4
B. y = -4x + 15
The slope is -4
C. 16x + 4y = 9
4y = -16x + 9
y = -4x + 9/4
The slope is -4
D. y=-4X
The slope is -4
E. 4x + 2y = 3
2y = -4x + 3
y = -2x + 3/2
The slope is -2
Finally, the equations that are parallel to the line 8x + 2y = 7 are equations B, C and D