Which of the following lines has no points of intersection with the line y=4x+5?

×
y =\dfrac{1}{4}x5

×
y=\dfrac{1}{4}x5

×
y=4x+\dfrac{1}{5}

×
y = 4x+\dfrac{1}{5}

×
y = 4x\dfrac{1}{5}
Which of the following lines has no points of intersection with the line y=4x+5?
y =\dfrac{1}{4}x5
y=\dfrac{1}{4}x5
y=4x+\dfrac{1}{5}
y = 4x+\dfrac{1}{5}
y = 4x\dfrac{1}{5}
Only this line has the same slope as the line y=4x+5, but different yintersect, which means the two lines are in parallel without points of intersection.