Question

A line is drawn on a coordinate grid by the equation x = 6. Which of the following lines would represent a row parallel to it?

A. a line containing the point (6,2)

B. y = 6

C. y = 4

D. x = 3 ​

Answer 1

Answer:

D, x = 3

Step-by-step explanation:

to know if a line is parallel, we need to know what kind of line x = 6 is

we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:

Vertical line

Undefined slope

X axis

Horizontal line

0 is the slope

Y axis

according to this, the equation x = 6 is a vertical line

now we can start eliminating answer choices

A. a line containing the point (6,2)

the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this  is not parallel to the line

B. y = 6

this intersects x = 6 and is not parallel

C. y = 4

this intersects x = 6 as well and is not parallel

D. x = 3

this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer

Answer 2

Answer:

D, x = 3

Step-by-step explanation:

to know if a line is parallel, we need to know what kind of line x = 6 is

we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:

Vertical line

Undefined slope

X axis

Horizontal line

0 is the slope

Y axis

according to this, the equation x = 6 is a vertical line

now we can start eliminating answer choices

A. a line containing the point (6,2)

the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this  is not parallel to the line

B. y = 6

this intersects x = 6 and is not parallel

C. y = 4

this intersects x = 6 as well and is not parallel

D. x = 3

this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer

Step-by-step explanation: