(1) The equation for line c can be written as y=(3)/(4)x-2 Line d, which is perpendicular to line c, includes the point (6,-3) . What is the equation of line d?

To find the equation of line d, we need to determine its slope and use the point-slope form of a linear equation.Step 1: Find the slope of line c.The slope of line c is given by the coefficient of x in the equation . Therefore, the slope of line c is .Step 2: Find the slope of line d.Since line d is perpendicular to line c, its slope is the negative reciprocal of the slope of line c. Therefore, the slope of line d is .Step 3: Use the point-slope form to write the equation of line d.The point-slope form of a linear equation is given by , where is a point on the line and m is the slope. Using the point and the slope , we can write the equation of line d as: Step 4: Simplify the equation.Simplifying the equation, we get: Therefore, the equation of line d is .