Final answer:
The equation of the line y = 7x + 5 is given. To find an equation for a line parallel to this line, we use the same slope and an undetermined y-intercept. Therefore, any equation of the form y = 7x + b, where b is any constant, will represent a line parallel to y = 7x + 5.
Step-by-step explanation:
The equation of the given line is y = 7x + 5. We need to find an equation for a line that is parallel to this line. Parallel lines have the same slope. So, the slope of the line k would also be 7. We can write the equation of the line k as y = 7x + b, where b is the y-intercept.
Since we don't have the value of the y-intercept, we can't determine the exact equation of line k. However, any equation of the form y = 7x + b, where b is any constant, will represent a line parallel to y = 7x + 5.