If a new line is to be parallel to the one we have, it will have the same slope as the line we have. The slope of that line is 6. If it passes through (0.9), it passes through x = 0 and y = 9. We will use that info to write the equation of a line and solve for b, the y-intercept. 9 = 6(0) + b and 9 = b. So the equation of the line parallel to the one given, passing through (0,9) is y = 6x + 9.
