Find the slope of the line given its graph. −5/6 -1 1 -5
wrong
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.
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.
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.