Question

Which line is parallel to the line y = 1/2 x + 5 and passes through the point (-2, 1)?

Answer 1

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

Explanation:

Parallel => So, Its slope would be the same as this one

Slope = m = 1/2

Now,

Point = (x,y) = (-2,1)

So, x = -2, y = 1

Putting this in the slope - intercept equation to get b

`y = mx+b`

1 = (1/2)(-2)+b

1 = -1+b

Adding 1 to both sides

b = 1+1

b = 2

Now Putting m and b in the slope - intercept equation to get the equation of this line

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