Imagine you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equation y=-1/2x-4
Complete the table for this equation.
x y (x,y)
-1
-2
-4
2
8
the grid is
x y (x,y)
-1
-2
-4
2
8
this is to the previous asked question from me.
plug in the x values in the equation to find the y values.
I would like an example of how to set it up. Thank you
To complete the table for the given equation, we need to substitute different values of x into the equation and solve for y.
Let's start with the first value of x, which is -1:
y = -1/2 * (-1) - 4
y = 1/2 - 4
y = -3.5
So, when x = -1, y = -3.5. We fill in the table accordingly:
x y (x, y)
-1 -3.5 (-1, -3.5)
Now, let's move on to the second value of x, which is -2:
y = -1/2 * (-2) - 4
y = 1 - 4
y = -3
So, when x = -2, y = -3. We complete the table:
x y (x, y)
-1 -3.5 (-1, -3.5)
-2 -3 (-2, -3)
Next, let's consider the third value of x, which is -4:
y = -1/2 * (-4) - 4
y = 2 - 4
y = -2
When x = -4, y = -2. We update the table:
x y (x, y)
-1 -3.5 (-1, -3.5)
-2 -3 (-2, -3)
-4 -2 (-4, -2)
Moving on to the fourth value of x, which is 2:
y = -1/2 * 2 - 4
y = -1 - 4
y = -5
When x = 2, y = -5. We fill in the table:
x y (x, y)
-1 -3.5 (-1, -3.5)
-2 -3 (-2, -3)
-4 -2 (-4, -2)
2 -5 (2, -5)
Finally, let's consider the last value of x, which is 8:
y = -1/2 * 8 - 4
y = -4 - 4
y = -8
When x = 8, y = -8. We complete the table:
x y (x, y)
-1 -3.5 (-1, -3.5)
-2 -3 (-2, -3)
-4 -2 (-4, -2)
2 -5 (2, -5)
8 -8 (8, -8)
The completed table for the equation y = -1/2x - 4 is as follows:
x y (x, y)
-1 -3.5 (-1, -3.5)
-2 -3 (-2, -3)
-4 -2 (-4, -2)
2 -5 (2, -5)
8 -8 (8, -8)