Question

Which equation represents a line which is parallel to the y-axis?

X=-4y
Y=x-3
Y=-7
X=-8

Answer 1

The line parallel to the y-axis is described by the equation X=-8, as it indicates a vertical line where x is always -8 for any value of y.

Step-by-step explanation:

The equation that represents a line that is parallel to the y-axis is one that has a constant x-value for all values of y. Among the options provided, the equation X=-8 fits this description because it does not have a y term, meaning for any y value, x will always be -8. This creates a vertical line parallel to the y-axis at x=-8. Unlike X=-8, the equations X=-4y, Y=x-3, and Y=-7 have either a slope or a constant y-value, making them either a non-vertical line or a horizontal line, respectively.

Answer 2

x = -8

Step-by-step explanation:

If the line is parallel to the y axis, that means it will be a vertical line.

Vertical lines have an equation of x = , because the line will only go through one x value.

They also will not have a slope, because their slope is undefined.

So, the correct answer is x = -8