Question 246653
y=3/4x +3/4 (red line). This line has a slope=3/4. 
Thus a parallel line will also have a slope=3/4 and passing through (5,3)is:
3=3*5/4+b
3=15/4+b
b=3-15/4
b=(3*4-15)/4
b=(12-15)/4
b=-3/4 the Y intercept.
Y=3X/4-3/4 (green line). 
{{{ graph( 300, 200, -6, 5, -10, 10, 3x/4 +3/4, 3x/4 -3/4) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/4 +3/4 and 3x/4 -3/4).