X Y
-4 3
-2 2
0 1
1 1/2
4 -1
The x and y coordinates given are:
Point 1: (-4, 3)
Point 2: (-2, 2)
Point 3: (0, 1)
Point 4: (1, 1/2)
Point 5: (4, -1)
I see that you have provided a set of ordered pairs (X, Y). Are you looking for any specific information or help with these pairs?
The given values can be represented as ordered pairs (X, Y). To find the pattern or relationship between X and Y, we can observe the changes in Y as X varies.
Let's examine the given values:
1. (-4, 3)
2. (-2, 2)
3. (0, 1)
4. (1, 1/2)
5. (4, -1)
Observing the changes in Y, we can notice that as the value of X increases, the value of Y seems to be decreasing. Additionally, the pattern in Y appears to be following a linear relationship, with a constant rate of change or slope.
To find the equation of the line, we can use two ordered pair values and apply the slope-intercept form:
Let's take (-4, 3) and (0, 1) to calculate the slope (m):
m = (Y2 - Y1) / (X2 - X1)
m = (1 - 3) / (0 - (-4))
m = -2 / 4
m = -1/2
Now, we have the slope (m) for the line. To find the equation, we can substitute any of the given points along with the slope into the point-slope form or the slope-intercept form.
We'll use the point-slope form with point (1, 1/2):
Y - Y1 = m(X - X1)
Y - (1/2) = (-1/2)(X - 1)
Y - 1/2 = (-1/2)(X) + 1/2
Y - 1/2 = -1/2X + 1/2
Y = -1/2X + 1/2 + 1/2
Y = -1/2X + 1
So, the equation that represents the pattern between X and Y is:
Y = -1/2X + 1
Using this equation, we can determine the value of Y for any given X.