(6,1), (3,3), (0,5) what kind of relationship is it
The relationship is not specified with just three points. More information is needed, such as the type of equation or pattern connecting the points.
To determine the kind of relationship between the given points (6,1), (3,3), and (0,5), we can observe the pattern by calculating the differences between the x and y coordinates.
Step 1: Find the differences between the x coordinates:
(3 - 6) = -3
(0 - 3) = -3
Step 2: Find the differences between the y coordinates:
(3 - 1) = 2
(5 - 3) = 2
Step 3: Compare the differences.
The differences between the x and y coordinates are the same. In this case, the differences for both the x and y coordinates are -3 and 2, respectively.
Step 4: Analyze the relationship.
Since the differences for both the x and y coordinates are consistent, we can conclude that the relationship between the given points is linear.
In summary, the relationship between the points (6,1), (3,3), and (0,5) is a linear relationship.
To determine the kind of relationship between the given points (6,1), (3,3), and (0,5), we can plot them on a coordinate system.
The given points form a line when connected. To determine the kind of relationship, we can look at the slope of this line. The slope of a line can be calculated using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's calculate the slope between the first two points: (6, 1) and (3, 3).
change in y-coordinates = 3 - 1 = 2
change in x-coordinates = 3 - 6 = -3
slope = 2 / -3 = -0.67
Now let's calculate the slope between the second and third points: (3, 3) and (0, 5).
change in y-coordinates = 5 - 3 = 2
change in x-coordinates = 0 - 3 = -3
slope = 2 / -3 = -0.67
Since the slope is the same for both cases, it indicates that the points are in a linear relationship. The slope of -0.67 suggests that the line has a negative slope, meaning it slants downwards from left to right.
Therefore, the kind of relationship between the given points is a linear relationship with a negative slope.