Question

Write the equation of a line parallel to y=1/2x that passes through the point (14,2).

Answer 1

y-2=1/2(x-14)
In terms of point slope form

Answer 2

y=1/2x - 5

Explanation:

Parallel means having the same slope. So we can write y=1/2x + b.

Now, we need to find the b, which is the y-intercept.

We can plug the point (14,2):

2 = 1/2*14 + b

2 = 7 + b. Subtract 7 from both sides.

-5 = b

Therefore, the equation is y=1/2x - 5

Hope this helps