Question

Is P(0,-9) and Q(2,-8) parallel to R(1,4) and S(3,3)

Answer 1

No

Explanation:

The definition of something being parallel is if it has the same slope. So, to determine whether these two segments are parallel, let's find the slope of each.

Slope is found through the equation:

`(y2-y1)/(x2-x1)`

Plug in your first two points, P and Q.

`(-8--9)/(2-0) =(1)/(2)`

Now, plug in the second two points, R and S.

`(3-4)/(3-1) =(-1)/(2)`

Since the first slope is positive, but the second slope is negative, these two lines are not parallel to each other.