Question

write the standard form equation for the line through (5,1) parallel to y=(3/4)x-7

Answer 1

parallel to the line means the same slope, right?
slope of your given line (number in a front of x) = 3/4
so, your line through (5,1) should have the same slope, so:
y-1=3/4 *(x-5)
y=3x/4 -15/4 +1
y=(3/4)x - 11/4