Find the slope of the line given its graph. −5/6 -1 1 -5
To find the slope of the line, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Given the points (-5/6, -1) and (1, -5), we can calculate the slope as follows:
(change in y-coordinates) = -5 - (-1) = -5 + 1 = -6
(change in x-coordinates) = 1 - (-5/6) = 1 + 5/6 = 11/6
Now, we can substitute these values into the formula:
slope = (-6) / (11/6)
To divide by a fraction, we multiply by the reciprocal:
slope = (-6) * (6/11) = -36/11
Therefore, the slope of the line is -36/11.
wrong
Apologies for the mistake. Let's recalculate.
Given the points (-5/6, -1) and (1, -5), the formula for slope is:
slope = (change in y-coordinates) / (change in x-coordinates)
(change in y-coordinates) = -5 - (-1) = -5 + 1 = -4
(change in x-coordinates) = 1 - (-5/6) = 1 + 5/6 = 6/6 + 5/6 = 11/6
Now, we can substitute these values into the formula:
slope = (-4) / (11/6)
To divide by a fraction, we multiply by its reciprocal:
slope = (-4) * (6/11) = -24/11
Therefore, the slope of the line is -24/11.
To find the slope of a line given its graph, we can use the formula for slope. The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
In this case, we are given the points (-1, -5) and (1, -5). Let's label them as (x1, y1) = (-1, -5) and (x2, y2) = (1, -5).
Now we can substitute the values into the slope formula:
slope = (-5 - (-5)) / (1 - (-1))
Simplifying this, we get:
slope = 0 / 2
Since the numerator is 0, the slope of the line is 0.
Therefore, the slope of the line given its graph is 0.