Question

Write the equation of a line that goes through point (0,-8) and has a slope of zero. Please explain how.

A) x= -8
B) x= 0
C) y= -8
D) y= 0

Answer 1

The equation of a line with a slope of zero is y = -8.

Step-by-step explanation:

The equation of a line with a slope of zero is always a horizontal line. To find the equation of this line, we can use the point-slope form of a line, which is y - y1 = m(x - x1). Since the slope is zero, the equation becomes y - (-8) = 0(x - 0), or y + 8 = 0. Simplifying further, we get y = -8. Therefore, the equation of the line that goes through the point (0, -8) and has a slope of zero is y = -8.