What is the equation of a line with coordinates of 3 -4 and is perpendicular to the line of 5x-2y equals 3?
Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26