Question

Find the equation of a line parallel to y=x-20 that passes through (1,4)

Answer 1

Hey!

So the first thing we can notice is that we are given the equation of the line parallel to the one we need to find. Two parallel lines always have the same slope. We can tell by looking at the equation that the slope of the line that we have been given is 1 and since the lines are parallel the slope of the line we need to find is also 1.

Knowing this and a point that the line passes through, we can find the y-intercept or b:

y = mx + b

4 = 1(1) + b

4 = 1 + b

3 = b

Since we know that the y-intercept is 3, we can plug this back into the slope intercept form equation along with the slope to get our equation:

y = x + 3