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).
1 answer