What is the slope of line pq? • -4 • 0 • 4 • undefined what is the slope of line mn • -2 • 2 • 0 • undefined how are the two lines related ? • the lines are parallel • the lines are perpendicular • the lines do not have slope • the lines are coplanar

we know that

The formula to calculate the slope between two points is equal to

Part a) Find the slope of line PQ

substitute in the formula

Any line parallel to X-axis has slope equal to zero

so

the line PQ is parallel to the x-axis

therefore

the answer Part a) is

Part b) Find the slope of line MN

substitute in the formula

Anything divided by zero is undefined

m=undefined

therefore

the answer Part b) is

undefined

Part c) How are the two lines related ?

we know that

Any line perpendicular to X-axis has slope undefined

Because the term will always be zero

so

the answer Part c) is

the lines are perpendicular

Solpe of line slope of line is undefined and Both lines are perpendicular to each other.

Step-by-step explanation:

Given: Image of two lines .

From the figure,

coordinates of .

Using the formula of slope of a line with coordinates .

So, slope of line

Therefore solpe of line

Now,  coordinates of .

slope of line which is undefined.

Therefore, slope of line is undefined.

Observing the given image: Both lines are perpendicular to each other.

Hence, Solpe of line slope of line is undefined and Both lines are perpendicular to each other.

Learn more about Slope of a line here:

link

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b