Write an equation of a line in standard form for the given conditions.

Question

The line passes through (4,21) and is parallel to the line y=2x+6

Answer 1

y=2x + b

21 = 2(4) + b

b = 21-8 = 13

y=2x+13 is the parallel line through the point (4,21)

to be parallel requires the same slope. The slope is the coefficient of the x term when the equation is solved for y