A line parallel to another line will have the same slope. In slope-intercept form (y = mx + b), the slope is represented by m. Since the line is already in that form, the slope of 7 will be the slope of a line parallel to it.
A line perpendicular to another line will have the negative reciprocal slope of the first line (which, again, should be in slope-intercept form). This means that the numerator and denominator will be flipped and the sign will change to its opposite. For this problem, a slope perpendicular to that line will be -1/7.
Hope this helps!
