Question

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?

y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5

Answer 1

The line parallel to y = x + 4 has slope 1, so its equation is y = x + b. Using (6,5): 5 = 6 + b → b = −1. Thus the line is y = x − 1, which is not among the given choices. (Note: 3x − 13 does pass through (6,5) but has slope 3, so it is not parallel.)