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The equation "y=-5" is an example of what kind of line?

A) Vertical
B) Angled
C) Horizontal
D) None of the above

1 Answer

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Final answer:

The equation 'y=-5' represents a horizontal line at the negative value of -5 on the y-axis, and the correct answer to the question is (C) Horizontal.

Step-by-step explanation:

The equation y=-5 represents a horizontal line that lies at the negative value of -5 on the y-axis. This is because the value of y remains constant at -5 for all values of x, indicating that the line runs parallel to the x-axis and does not slope upwards or downwards. Therefore, the correct answer to the question ‘The equation "y=-5" is an example of what kind of line?’ is (C) Horizontal.

In contrast, a vertical line would have an equation in the form x = a constant, an angled line (with a slope) would have an equation of the form y = mx + b, where m is the slope and b is the y-intercept, and an equation of y = a positive constant would represent a horizontal line at a positive value on the y-axis.

User Justin Rudd
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