y=3/4x-1 write equation for a line parallel to the given line passing through (4,0)

Answer 1

y = mx +b
0 = -3/4(4) + b
0 = -3 + b
b = 3
y = -3/4x + 3

Answer 2

Thank you. can you explain the steps that you used.

Answer 3

Kuai is not correct, his line is NOT parallel with the given, since the slopes are different

easiest way:
if the new line is parallel to the given one, it must differ only in the constant

so new equation is
y = (3/4)x + b
sub in (4.0)
0 = (3/4)(4) + b
b = -3

y = (3/4)x - 3