"general line equation is given as " y=color(red)(m)*x+n
m:slope
9x-6y=16
6y=9x-16
y=9/6x-16/6
y=color(red)(9/6) x-16/6
slope=9/6=3/2
"intercepts:"
"for x intercept : y=0"
0=9/6x-16/6
9/6x=16/6
x=16/9
"for y intercept x=0"
y=9/6*0-16/6
y=-16/6
y=-8/3