Which statement about the lines below is true?4y = −16 and 3x = 27

Select all that apply.
A. Line 4y = −16 is horizontal.
B. Line 3x = 27 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.

Here, we are required to determine which statement about the lines 4y = −16 and 3x = 27

are true.

• The statement about the lines 4y = −16 and 3x = 27which are true are; Choice A, Choice B, Choice C and Choice D.

For the line 4y = −16, the line can also be written as;

y = -4.

This means that the line 4y = -16 is a horizontal line which has a point with coordinate, (0,-4) on it.

For the line 3x = 27, the line can also be written as;

y = 9.

This means that the line 3x = 27 is a vertical line which has a point with coordinate, (9,0) on it.

Also, for both lines, all points on the line have an x- and y- coordinate, although x- ordinate is constant on line 4y = -16 and y-ordinate is constant on line 3x = 27.

And, regarding Choice D, one of the coordinates of all the points is always the same value and this value is; 0.

In conclusion; all of the statements apply.

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All the given statement are correct .

Line 4y = −16 is horizontal.

To determine whether a line is horizontal, we can look at the y-coordinate. In the equation 4y = -16, the y-coordinate is always -4, regardless of the value of x. This means that the line will never cross the y-axis, and it will always be parallel to the x-axis.

Line 3x = 27 is vertical.

Similarly, to determine whether a line is vertical, we can look at the x-coordinate. In the equation 3x = 27, the x-coordinate is always 9, regardless of the value of y. This means that the line will never cross the x-axis, and it will always be parallel to the y-axis.

For both lines, all points on the line have an x- and a y-coordinate.

This is true for all lines, as they are defined by two coordinates, x and y.

For either line, one of the coordinates of all the points is always the same value.

As stated above, one of the coordinates is always the same value for both lines, as they are horizontal and vertical lines, respectively. For the horizontal line, the y-coordinate is always -4, and for the vertical line, the x-coordinate is always 9.

Therefore, all of the statements apply.