EXPLANATION
Given the expression 2y -3x = 18
Adding +3x to both sides:
2y = 3x + 18
Dividing both sides by 2:
y = (3/2)x + 18/2
Simplifying:
y = (3/2)x + 9 [SLOPE-INTERCEPT FORM]
Hence, we have the slope-intercept form :
where m=slope=(3/2) and b=y-intercept=9