Use the equation y − 5 = x/3
to fill in the missing values in the table below. (Type in numbers for your answers, do not spell the numbers out or it will count it wrong.)
+----+----+
| x | y |
+----+----+
| 0 | -5 |
| 3 | |
| 6 | |
| 9 | |
+----+----+
We can find the values of y by substituting the given values of x into the equation y - 5 = x/3.
When x = 0, y - 5 = 0/3 = 0, so y = 0 + 5 = 5.
When x = 3, y - 5 = 3/3 = 1, so y = 1 + 5 = 6.
When x = 6, y - 5 = 6/3 = 2, so y = 2 + 5 = 7.
When x = 9, y - 5 = 9/3 = 3, so y = 3 + 5 = 8.
+----+---+
| x | y |
+----+---+
| 0 | 5 |
| 3 | 6 |
| 6 | 7 |
| 9 | 8 |
+----+---+
To fill in the missing values in the table using the equation y - 5 = x/3, we can substitute the given values of x into the equation and solve for y.
Let's determine the value of y for each x value:
For x = -9:
y - 5 = (-9)/3
y - 5 = -3
Adding 5 to both sides:
y = -3 + 5
y = 2
For x = 0:
y - 5 = 0/3
y - 5 = 0
Adding 5 to both sides:
y = 0 + 5
y = 5
For x = 6:
y - 5 = 6/3
y - 5 = 2
Adding 5 to both sides:
y = 2 + 5
y = 7
Now we can fill in the missing values in the table:
---------
| x | y |
---------
| -9 | 2 |
---------
| 0 | 5 |
---------
| 6 | 7 |
---------
To fill in the missing values in the table using the equation y − 5 = x/3, we need to substitute different values for x into the equation and solve for y.
Let's substitute x = -6 into the equation:
y - 5 = (-6)/3
y - 5 = -2
y = -2 + 5
y = 3
So, for x = -6, y is equal to 3.
Next, let's substitute x = 12 into the equation:
y - 5 = (12)/3
y - 5 = 4
y = 4 + 5
y = 9
Therefore, for x = 12, y is equal to 9.
Now, let's fill in the values in the table:
| x | y |
|:-----:|:-----:|
| -6 | 3 |
| 12 | 9 |
Thus, the missing values in the table are x = -6 with y = 3, and x = 12 with y = 9.