Question 17 1 pts
Determine whether QR and ST are parallel, perpendicular,
or neither.
Q(-6, 11), R (2, -1), S(-4, 8), T(-1, 10)

Perpendicular

Step-by-step explanation:

Remember that:

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

Subtract:

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

Subtract:

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice