how do I determine which equation represents the line that is parallel to y = 3 and passes through (-2,-8)?
A.
x = -2
B.
x = 3
C.
y = -8
D.
y = 3x − 2
To determine which equation represents the line that is parallel to y = 3 and passes through (-2,-8), we need to find the equation of a line that has the same slope as y = 3 and passes through the point (-2,-8).
The equation y = 3 represents a horizontal line because the slope is 0. Therefore, a parallel line will also be horizontal and have a y-value constant.
Thus, the equation that represents the line that is parallel to y = 3 is C. y = -8. Answer: C.