The equation of the line l is
6x + 5y = 3, and the equation of line q is 5x - 6y = 0. Which statement about the two lines is true?
A. lines l and q have the same y-intercept.
B. lines l and q are parallel.
C. lines l and q have the same x-intercept.
D. lines l and q are perpendicular
step 1
Find the slope of line l
6x + 5y = 3
isolate the variable y
5y=-6x+3
y=-(6/5)x+3/5
m=-6/5
step 2
Find the slope of line q
5x - 6y = 0
6y=5x
y=(5/6)x
m=5/6
step 3
Compare the slopes
we have
m=-6/5
m=5/6
the slopes are inverse reciprocal, that means, that the lines are perpendicular
therefore
the answer is the option D