What is the slope of the line that passes through the points left bracket, 1, comma, minus, 7, right bracket(1,−7) and left bracket, 1, comma, 13, right bracket(1,13)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula (y2 - y1)/(x2 - x1).
In this case, the points are (1, -7) and (1, 13).
So, the slope is (13 - (-7))/(1 - 1) = 20/0.
The slope of this line is undefined because the denominator is zero.
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y)/(change in x)
Given the two points (1, -7) and (1, 13), the change in y is 13 - (-7) = 13 + 7 = 20.
The change in x is 1 - 1 = 0.
Since the change in x is 0, we cannot divide by zero. Therefore, the slope is undefined.
In simplest form, the slope is undefined.
To find the slope of a line that passes through two points, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Given the points (1, -7) and (1, 13), we can see that the x-coordinates are the same, meaning there is no change in the x-coordinate. Since division by zero is undefined, we can conclude that the slope is undefined in this case.
Therefore, the slope of the line passing through these points is undefined.