Describe the error in writing an equation of the line that passes through the point (3, 4) and is parallel to the line y = 2x+1.

Question

nee e2bb2qibdhbdeqydbqbdqqbqyhbdqiqb

Answer 1

to be parallel, the line must have the same slope, but a different y intercept. If it has the same y intercept, it's the same line

2 = m = the slope, the coefficient of the x term, when the equation is solved for y

y=mx+b is the standard equation in slope intercept form with b = y intercept

plug in the point to solve for b

4=2(3) + b

b = 4-6 = -2

the parallel line through the given point is y=2x -2

an error in doing this might be to use 1 as the y intercept, or to use the negative inverse of the slope which gives you a perpendicular line, not a parallel line