Y = -2x + 3-3y = 6x + 15parallel, perpendicular, or neither?
1 answer:
Answer:
they are parallel
Step-by-step explanation:
given:
y = -2x + 3 ---- eq 1
and
-3y = 6x + 15 --- eq 2
We can rearrange equation 2 such that it looks like equation 1 for easily comparison by dividing both sides of equation 2 by -3
y = (6x+15) / (-3)
y = -2x - 5 ------eq 3
recall that for a linear equation in the form y = mx + b, "m" represents the slope of the equation.
In our case we can see that by comparing equation 1 and 3, that both equtions have the same m value (i.e. m = -2)
since both lines have the same slope, they are parallel.
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