The complete question is;
when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?
A) They are parallel because their slopes are the same
B) They are not parallel because their slopes are the same
C) They are parallel because their slopes are opposite reciprocals
D) They are not parallel because their slopes are opposite reciprocals
Answer:
Option D: They are not parallel because their slopes are opposite reciprocals
Step-by-step explanation:
Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.
Now, the general formula for slope intercept is;. y = mx + c.
Where m is the slope and c is the y - intercept.
This means the slope of bamby is - 4 while that of Primrose is 8.
The slopes are not the same and so options A and B are not correct.
Now, -4 is an opposite reciprocal of 8/-2.
But an opposite reciprocal means that both lines on the graph are perpendicular to each other.
Thus, option C is wrong because they are not parallel.
So correct option is D.
