What is the equation of the horizontal line that contains the point (3,−8)?

The equation of the horizontal line that contains the point (3,−8) will be:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

We need to determine the equation of the horizontal line that contains the point (3, −8).

We know that the slope of a horizontal line m = 0

Thus, in our case:

now substituting m = 0 and the point (3, -8) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

-8 = 0(3) + b

-8 = 0 + b

b = -8

Thus, the y-intercept b = -8

now substituting m = 0 and b = -8  in the slope-intercept form of the line equation

y = mx+b

y = 0(x) + (-8)

y = 0 - 8

y = -8

Therefore, the equation of the horizontal line that contains the point (3,−8) will be:

Please also check the attached graph below.

step-by-step explanation: