Question

Identify the slope and the y-intercept of the equation 4x - 3y = 12 (1 point)

The slope is - 4/3 and the y-intercept is (0, 4).

The slope is 4, and the y-intercept is (0, 12).

The slope is 4/3 and the y-intercept is (0, 4).

The slope is 4/3 and the y-intercept is (0, -4)

Answer 1

To identify the slope and the y-intercept of the equation \(4x - 3y = 12\), we can rearrange the equation into slope-intercept form, which is \(y = mx + b\) where \(m\) is the slope and \(b\) is the y-intercept.

Starting with the equation:

\[ 4x - 3y = 12 \]

We can move \(4x\) to the other side:

\[ -3y = -4x + 12 \]

Next, divide every term by -3:

\[ y = \frac{4}{3}x - 4 \]

From this equation:

- The slope \(m\) is \(\frac{4}{3}\).
- The y-intercept \(b\) is \(-4\), which corresponds to the point (0, -4).

Thus, the correct option is:

**The slope is \(\frac{4}{3}\) and the y-intercept is (0, -4).**