What is the slope of the line that passes through the points left bracket, minus, 1, comma, 1, right bracket(−1,1) and left bracket, minus, 1, comma, 4, right bracket(−1,4)? 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)
For the given points (-1,1) and (-1,4), we have:
m = (4 - 1) / (-1 - (-1))
m = 3 / 0
The denominator of the fraction is zero, so the slope is undefined.