Question

What is the equation of the line that passes through the point (4,2) and is

parallel to the line represented by
y - 4 = 1/2(x + 3)?

Answer 1

`y=(1)/(2) x`

Explanation:

Find the slope of the original line and use the point-slope formula

`y-y_(1) =m(x-x_(1) )`

to find the line parallel to

`y-4=(1)/(2) (x+3)`.

Answer 2

Explanation:

If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.

Given that there is a point at (4,2), the equation of the line is then

y - 2 = 1/2(x-4)