How would you find an equation of horizontal line that passes through the point (-4,-8)?

sketch it.

y = -8

the line is horizontal, so the y-value does not change. What function stays at -8 for any value of x?

To find the equation of a horizontal line that passes through a specific point, follow these steps:

Step 1: Recall that a horizontal line has a constant y-coordinate, regardless of the x-coordinate. Hence, the equation of any horizontal line can be written in the form y = k, where k is a constant.

Step 2: Identify the given point that the line passes through. In this case, (-4, -8).

Step 3: Since the line is horizontal, its y-coordinate remains the same for all points on the line. Therefore, the y-coordinate of the given point (-4, -8) is also the y-coordinate of all other points on the line.

Step 4: Use the y-coordinate of the given point as the constant k in the equation y = k to obtain the equation of the horizontal line. In this case, the equation would be y = -8.

Hence, the equation of the horizontal line that passes through the point (-4, -8) is y = -8.