Find the missing value to make the point (__, 28) on the equation

y=6x − −4.

1 answer

To find the missing value for the point \((__, 28)\) on the equation \(y = 6x - 4\), we need to substitute \(y = 28\) into the equation and solve for \(x\).

Starting with the equation:

\[ y = 6x - 4 \]

Substituting \(y = 28\):

\[ 28 = 6x - 4 \]

Now, add 4 to both sides:

\[ 28 + 4 = 6x \] \[ 32 = 6x \]

Next, divide both sides by 6:

\[ x = \frac{32}{6} = \frac{16}{3} \]

So, the missing value is:

\[ \frac{16}{3} \]

Thus, the point that makes it true for the equation \(y = 6x - 4\) is \(\left(\frac{16}{3}, 28\right)\).