Question

Which equation represents a line passing through the point (8/3, 1/5) and is parallel to the line y = -5?

A. y = -5
B. y = 1/5
C. y = 1/5x + 1/5
D. y = -5x + 1/5

Answer 1

The equation of a line parallel to y = -5 and passing through (8/3, 1/5) is y = 1/5, as it is a horizontal line with a y-coordinate of 1/5.

Step-by-step explanation:

The equation representing a line passing through the point (8/3, 1/5) and is parallel to the line y = -5 would have the same slope as the given line. Since line y = -5 is a horizontal line, its slope is 0. Hence, any line parallel to it will also have a slope of 0. The equation of a horizontal line can be written as y = k, where k is the y-coordinate value that the line passes through. In this case, our line passes through the point (8/3, 1/5), so the corresponding y-coordinate is 1/5.

Therefore, the equation of the line parallel to y = -5 and passing through the point (8/3, 1/5) is y = 1/5.