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