Find the slope of a line perpendicular to the line whose equation is 3x-3y=63 Fully simplify your answer.

To find the slope of a line perpendicular to the given line, we first need to find the slope of the given line.The equation of the given line is . We can rewrite this equation in slope-intercept form, which is , where is the slope and is the y-intercept.To do this, we can isolate on one side of the equation: From this equation, we can see that the slope of the given line is .The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line. Therefore, the slope of the line perpendicular to the given line is .So, the slope of a line perpendicular to the line whose equation is is .