find equation of line which passes through the points (5,7) and (5,-8).
Is this undefined?
no. Just note that x=5 for both points. That means x=5 for all the points on the line. So, the line is
x=5
It is a vertical line.
To find the equation of a line passing through two points, you can use the formula for the slope-intercept form of a line, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
To find the slope, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of the two points, (5, 7) and (5, -8), we can plug them into the formula to find the slope:
m = (-8 - 7) / (5 - 5)
m = -15 / 0
Since the denominator is 0, the slope is undefined. This means that the line is vertical and does not have a slope. However, we can still find the equation of the line based on its vertical nature.
The equation of a vertical line passing through a point (a, b) is:
x = a
In this case, since the line passes through the point (5, 7), the equation is:
x = 5
Therefore, the equation of the line passing through the points (5, 7) and (5, -8) is:
x = 5