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

𝑦
=
6
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4
y=6x − −4.

1 answer

To find the missing value \( x \) that makes the point \( (__, 28) \) on the equation \( y = 6x - 4 \), we can substitute \( y \) with 28 and solve for \( x \).

Starting with the equation:

\[ y = 6x - 4 \]

Substituting \( y \) with 28 gives us:

\[ 28 = 6x - 4 \]

Next, we can add 4 to both sides:

\[ 28 + 4 = 6x \]

This simplifies to:

\[ 32 = 6x \]

Now, divide both sides by 6:

\[ x = \frac{32}{6} = \frac{16}{3} \approx 5.33 \]

Therefore, the missing value is:

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

So the point \( \left(\frac{16}{3}, 28\right) \) lies on the equation \( y = 6x - 4 \).