Show that the lines A: y= 2x-5. and the line B: 2y-4x+3=0 are parallel.

If two lines are parallel they have the same gradient. line A is in the form y=mx+c where m is the gradient and c is the y intercept. Therefore, the gradient of A =2.Get B into the form y=mx+c to compare it gradient to A.2y-4x+3=02y=4x-3y=2x-3/2This equation is now in the form y=mx+c where m= 2 and c =-3/2Therefore B has the same gradient as A.Therefore, the lines are parallel.