What is the slope of the line that passes through the points left bracket, 9, comma, 2, right bracket(9,2) and left bracket, 9, comma, 27, right bracket(9,27)? Write your answer in simplest form.
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
In this case, the coordinates are (9, 2) and (9, 27). Plugging these values into the formula:
m = (27 - 2) / (9 - 9)
= 25 / 0.
The denominator is zero, meaning that the line is vertical, and therefore, it does not have a slope.