Question

Need help with these

Answer 1

Lines are parallel if and only if there slopes are the same
the slope will be m in the equation y=mx+b notice that the coefficient of y is 1
a)y=3/5x+1
b)5y=3x-2---> divide the whole equation by 5-->y=3/5-(2/5)
c)10x-6y=-4-->solving for y--->-6y=-4-10x--->dividing by -6--->y=(-10/-6)x-(4/-6)
so a and b are parallel
for the second question
a)4x-3y=2---->-3y=2-4x---->y=(2/-3)+(4/3)x
b)3x+4y=-1--->4y=-1-3x---->y=(-1/4)-(3/4)x
c)4y-3x=20--->4y=20+3x--->y=5+(3/4)x
so no parallel lines in the second question