First, let's find the slope of the line given
Re-arrange the equation to be in the form y = mx + b
3x - 4y = 9
4y = 3x - 9
Divide through by 4
Comparing with y = mx + b
m = 3/4
slope = 3/4
Slope of parallel lines are equal, hence the slope of our new equation is 3/4
Next, find the intercept by substituting x= 4 y = -4 and m = 3/4 in y=mx + b
and then solve for b
-4 = (3/4)4 + b
-4 = 3 + b
b = -4 - 3
b = -7
To form the new equation, substitute m = 3/4 b = -7 in y=mx + b
