Question

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB? y = 5x + 3 or y = 1/5x + 3 or y = −5x + 3 or y = −1/ 5x + 3

Answer 1

Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.