find the slope of this graph: (-1, 2), (4, 2). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of a graph given two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (-1, 2) and (4, 2). Plugging these values into the formula, we get:
slope = (2 - 2) / (4 - (-1))
= 0 / 5
= 0
Therefore, the slope of the graph is 0, which can be written as the fraction 0/1 or simply as the integer 0.
(-4, -4), (0, -6)
Again, we can use the slope formula to find the slope of this graph:
slope = (y2 - y1) / (x2 - x1)
Plugging in the points (-4, -4) and (0, -6), we have:
slope = (-6 - (-4)) / (0 - (-4))
= (-6 + 4) / (0 + 4)
= -2 / 4
= -1/2
So, the slope of the graph is -1/2.
(-3, 1), (3, -1)
Using the same slope formula, we can calculate the slope of the line passing through the points (-3, 1) and (3, -1):
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
slope = (-1 - 1) / (3 - (-3))
= (-2) / (3 + 3)
= -2 / 6
= -1/3
Thus, the slope of the graph is -1/3.
(5, 3), (-5, -3). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the graph passing through the points (5, 3) and (-5, -3), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
slope = (-3 - 3) / (-5 - 5)
= (-6) / (-10)
= 6/10
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
slope = 6/10
= 3/5
Therefore, the slope of the graph is 3/5.
(0, 1), (-5, -2). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of the graph passing through the points (0, 1) and (-5, -2), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
slope = (-2 - 1) / (-5 - 0)
= (-3) / (-5)
= 3/5
Therefore, the slope of the graph is 3/5.