What is an equation of the line that passes through the point (1,7) and is parallel to the line 3x-y=1?

Question

What is an equation of the line that passes through the point (1,7) and is parallel to the line 3x-y=1?

Answer 1

y= 3x-1 with slope = 3

parallel lines have the same slope: 3

y=3x+ b, where b is the y intercept. to calculate b, plug in the point

7 = 3 + b

b = 4

y=3x + 4 is the equation parallel passing through (1,7)