Find an equation for the line perpendicular to the line −4x−9y=2 having the same y-intercept as 6x−4y=9

Question

Find an equation for the line perpendicular to the line  having the same -intercept as 

Answer 1

y = mx + b

Find m knowing that the product of slopes of perpendicular lines is -1.

m = -1/[-(-4)/(-9)] = 9/4

y = (9/4)x + b

Find b for the given line. Set x=0 in the equation of the given line and solve for b.

6(0) - 4b = 9

b = -9/4

y = (9/4)x - 9/4