find the equation of the line that is parallel to y =2x+1 and passes through the point (2,2)

Answer 1

y = 2x + 1 is in y=mx + b form, where m = slope, so slope = 2

line parallel to that line has the same slope m = 2

to express equation of line in y = mx + b form, we need to find m and b.

We know m = 2 and we have a point (x,y) = (2,2) that the line passes through, so we can substitute that x,y and m = 3 into the equation to solve for b:

2 = 2(2) + b

b = -2

so equation is y = 2x - 2