Question

What is the slope of line PQ?

y
10
8
What is the slope of line MN?
M
6
4
How are the two lines related?
Р
Q
x
2
-2
-2
-10 8 6
2
4
6
e
10
4
6
8
N
-10

Answer 1

B, slope = 0

Explanation:

What is the slope of the line passing through (-3, 5) and (5, -3)?

no slope

slope = 0 ✅

slope = 1

slope = -1

I had this same question asked in my school

Answer 2

Explanation:

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula,

Slope =
`(y_2-y_1)/(x_2-x_1)`

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope '
`m_1`' =
`(2-2)/(-8-2)` = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope '
`m_2`' =
`(6+8)/(8-8)` = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.