Question

write the equation of the line that is parallel to the given line and the given point. y=1/2x + 2, (0,4)

Answer 1

y = 1/2x + 4

Explanation:

parallel lines have the same gradient. therefore using our given equation we can get its gradient as 1/2. Line 2 will have same gradient too

using the given point (0,4) and one unknown point (X,y) we can write the equation of line 2 in slope -intercept form

G = rise/run

1/2 = y-4/x-0

2y - 8 = X

2y = X +8

y = 1/2x + 4