Determine the equation of a line that passes through (-5, 8) and (-5, -9).

1 answer

The equation of a line can be determined using the formula for the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1).

Using the coordinate points (-5, 8) and (-5, -9), we have:
m = (-9 - 8) / (-5 - (-5))
= (-9 - 8) / (-5 + 5)
= -17 / 0

Since we have a denominator of 0, the slope is undefined.

This implies that the line is a vertical line, and its equation is x = a constant value.

In this case, since the line passes through the point (-5, 8), the equation of the line is x = -5.