What is the slope of any line parallel to the y-axis in the (x, y) coordinate plane?
F. -1
G. O
H. 1
J. Undefined
K. Cannot be determined from the given information

A line parallel to the y-axis in the (x, y) coordinate plane is undefined.

Step-by-step explanation:

We know that the slope of a vertical line on a coordinate plane is undefined.

We also know that a line parallel to the y-axis is basically a vertical line.

Therefore, a line parallel to the y-axis in the (x, y) coordinate plane is undefined.

EXAMPLE

For example, considering the two points of a line

(x₁, y₁) = (1, 3)

(x₂, y₂) = (1, 5)

Determining the slope between (1, 3) and (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

              =  [5 - 3] / [1 - 1]

               = 2/0

               = ∞ or undefined

Thus, the slope of the line = m = undefined

Thus, the equation of a line parallel to y-axis passing through the points (1, 3) and (1, 5) will be:

Please also check the attached graph.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.