Answer:
Perpendicular
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are the same.
- Two lines are perpendicular is their slopes are negative reciprocals.
- And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.
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.
110x4= 2
70x6= 2
60x7= 1
Hope this helps.
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)
The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)
Answer:
x = 10 and y = 4
Step-by-step explanation:
x - y = 6
3x - 2y = 22
1. Isolate x for x - y = 6: x = 6 + y
Substitute x = 6 + y
3 * ( 6 + y) - 2y = 22
2. Isolate y for 3 * (6 + y) - 2y = 22: y = 4
Substitute y = 4
x = 6 + 4
3. Simplify.
x = 10