line j: y = 2/3x + 1/2

line k: y = 1/2x + 2/3

line l: y = 2/3x + 3/2

line m: y = 3/2x + 1/2

These four lines have been graphed on the same coordinate grid. Which lines are parallel to each other?

A)j and l

B)j amd m

C)k and l

D)k and m

Is it C??

2 answers

A typical line in slope intercept form is

y = mx + b

where m is the slope and a is the y-intercept.

Two lines are parallel whenever their slopes (m1, m2) are identical.

Try to spot two lines with identical slopes and find the corresponding choice of answer.
It’s J and L