Write the slope intercept form of the equation that passes through (2, 2) and is parallel to y = x + 4.

Question

Im stuck on y=x+4 how do I get an answer from just the number 4.

Answer 1

The equation y=x+4, you use that to find the slope. The slope is 1, so the slope of the line parallel to this line is also 1. Parallel lines have the same slope. Using your point and slope, you can solve for the y intercept.

y=mx+b

2=1(2)+b

2=2+b

b=0

The equation is y=x

Answer 2

parallel to y=x+4, through (2,2)

any parallel line has the same slope. slope = the coefficient of the x term when the linear equation is solved for y. 1 is the slope

y-2 = x-2

y=x