The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
By comparing the first equation with the slope intercept equation,
slope = 2/3
We would rearrange the second equation. It becomes
6y = 4x + 6
Dividing both sides by 6, we have
6y/6 = 4x/6 + 6/6
y = 2x/3 + 1
By comparing this equation with the slope intercept equation,
slope = 2/3
Two equations are parallel if they have the same slope. Since they have equal slope,
the graphs of the lines in the pair are parallel
