What is the slope of the line that passes through the points left bracket, 0, comma, 0, right bracket(0,0) and left bracket, 0, comma, 5, right bracket(0,5)? Write your answer in simplest form.
The slope of a line passing through two points (x1,y1) and (x2,y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the points are (0,0) and (0,5), so x1 = 0, y1 = 0, x2 = 0, and y2 = 5.
Plugging these values into the formula, we get:
m = (5 - 0) / (0 - 0)
m = 5 / 0
Since division by zero is undefined, the slope is undefined in this case.