What is the slope of the line that passes through the points left bracket, minus, 8, comma, minus, 1, right bracket(−8,-1) and (-8, -11)?Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (-8, -1) and (-8, -11).
slope = (-11 - (-1)) / (-8 - (-8))
slope = (-11 + 1) / (-8 + 8)
slope = (-10) / 0
Since division by 0 is undefined, the slope of the line passing through the given points is undefined.
To find the slope of a line that passes through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Given the points (-8, -1) and (-8, -11), we can substitute the coordinates into the formula:
slope = (-11 - (-1)) / (-8 - (-8)).
Simplifying this expression:
slope = (-11 + 1) / (-8 + 8),
= (-10) / 0.
Since the denominator is zero, the slope is undefined.
To find the slope of the line that passes through two points, we can use the formula:
slope = (change in y) / (change in x)
Given the points (-8, -1) and (-8, -11), we can see that the x-coordinate is the same for both points, which means there is no change in x. Therefore, the change in x is 0.
The formula becomes:
slope = (change in y) / 0
Since we get an undefined value when dividing by 0, the slope of the line is undefined. There is no slope for this vertical line passing through the given points.