Find an equation of the line passing through the origin and

Find an equation of the line passing through the origin and parallel to the line passing through the points (3, 16) and (5,24). y = Ax + 4 y = - Ax y = Ax - A y = Ax y = 5x

Solution

equation of the line :

y = mx + b

i) if it passing through origin then b=0

ii) if it parallel to other line which slope can be calculate mean:

m = (y2 - y1)/(x2 -x1) ; where (x2,y2)=(5,24) and (x1,y1) = (3,16)

then m = 4

so the equation is: y = 4x ---> option d.