Question

Which equation represents the line that is parallel to y = 3 and passes through (-2,-8)? A. x = -2 B. x = 3 C. y = -8 D. y = 3x − 2

Answer 1

Answer:

Slope of line y = 3 is 0.

So slope of line parallel to y = 3 is also 0.

so equation of line passes through (-2,-8) and parallel to y = 3 is

y - (- 8) = 0(x - (-2))

y = - 8

Answer 2

Option C is correct, the equation of the line is y = -8

Given:

A line is parallel to the line y = 3 and passes through the point (-2, -8)

To Find:

We need to find the equation of the given line

Solution:

The slope of the line y = 3 is 0 since it is parallel to the x axis

and since the slope of parallel lines is equal, the equation of the unknown line will also be 0

Now, we can use the point slope form to find the equation of the line as follows-

(y - y₁) = slope(x - x₁)

(y + 8) = 0(x + 2)

y + 8 = 0

y = -8

Thus, the equation of the line is y = -8

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