Question

Identify which lines are parallel . y = 3x + 4; y = 4; y = 3x; y = 3

Answer 1

Hi, there.

_______

If lines are parallel, their slopes are equal.

Here only

`\leadsto\boldsymbol{y=3x+4\ \& \ y=3x}`

have equal slopes.

Only these two lines are parallel.

Thus,

`\leadsto\begin{cases}\boldsymbol{y=3x+4}\\\boldsymbol{y=3x} \end{cases}`

Hope the answer - and explanation - made sense,

happy studying.

Answer 2

Since parallel lines have an equal gradient,

• lines y=3x+4 and y=3x are parallel to each other (they have an equal gradient of y=3x)