Math Snap

STEP 1

1. The equation of the line is given as $4x - 3y = 16$.
2. The intercept on the $x$-axis occurs where $y = 0$.
3. We need to solve for $x$ when $y = 0$.

STEP 2

1. Substitute the value of $y = 0$ into the equation.
2. Solve for $x$ to find the $x$-intercept.
3. Verify the solution is a single-digit integer.

STEP 3

Substitute $y = 0$ into the equation $4x - 3y = 16$:
$$4x - 3(0) = 16$$ This simplifies to:
$$4x = 16$$

STEP 4

Solve for $x$ by dividing both sides of the equation by 4:
$$x = \frac{16}{4}$$ Simplify the right-hand side:
$$x = 4$$

Verify that the solution $x = 4$ is a single-digit integer.
Since $4$ is indeed a single-digit integer, the solution is correct.
Therefore, the intercept on the $x$-axis is:
$$\boxed{4}$$