What is the equation of the line which is parallel to y = 2x-9 and which passes through the point (4,2)?

1 Answer

y=2x-6

Explanation:

The original formula for the slope is given in the form of

y=mx+b,

where m is the slope and b is the place where the line intersects the y axis, or "y-intercept".

In a parallel line, the slope is the same, but the y-intercept is different. So, your m value remains the same, (m=2) but you pick a different b value.

In order to choose the appropriate b value for the equation of the line we want, we will need to find a line with the same slope that passes through the point (4,2) which is (x,y)

So, with m=2, set y=2 and x=4, and notice that we get 2=2(4)+b.

Then we have 2=8+b, which means the choice of b we want is b=-6.

This gives us the parallel line y=2x-6.