Let (d): y=2x-3. Find the equation of line (d') parallel to (d) and pass by point A(0;2).

(d'): y=ax+b

slop of (d)=slop of (d')=2

(d'): y=2x+b

we replace the coordinates of point A to find the value of b:

2=2(0)+b so b=2

(d'): y=2x+2

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(d'): y=ax+b

slop of (d)=slop of (d')=2

(d'): y=2x+b

we replace the coordinates of point A to find the value of b:

2=2(0)+b so b=2

(d'): y=2x+2

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