Question

Consider the equation y = −6. Which statement is TRUE?

A) The graph of the equation is a vertical line with a slope of zero.
Eliminate
B) The graph of the equation is a horizontal line with a slope of zero.
C) The graph of the equation is a vertical line with an undefined slope.
D) The graph of the equation is a horizontal line with an undefined slope.

Answer 1

B

Explanation:

The equation of a line, parallel to the x-axis is y = c

Where c is the value of the y- coordinates the line passes through. Because it is parallel to the x- axis it's slope is zero.

y = - 6 is in this form → B

Answer 2

Option B.

Explanation:

Vertical line: All lines that are parallel to y-axis are called vertical lines. Th are defined as x=a and the slope of a vertical line is ∞.

Horizontal line: All lines that are parallel to x-axis are called horizontal lines. They are defined as y=b and the slope of a horizontal line is 0.

Consider the equation

`y=-6`

This equation in the form of y=b. So, the graph of the equation is a horizontal line with a slope of zero.

Therefore, the correct option is B.