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

Question

The slope is 4, and the y-intercept is (0, 12).
The slope is − , and the y-intercept is . 4
3 (0, 4)
The slope is , and the y-intercept is . 4
3 (0, 4)
The slope is , and the y-intercept is . 4
3 (0, − 4)

Answer 1

To identify the slope and the y-intercept of the equation $4x-3y=12$, we can rewrite the equation in slope-intercept form, which is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

Starting with the given equation:

$$4x-3y=12$$

We can isolate $y$:

1. Subtract $4x$ from both sides:

   $$-3y=-4x+12$$

2. Divide by $-3$:

   $$y=\frac{4}{3}x-4$$

From this, we can see that the slope $m$ is $\frac{4}{3}$, and the y-intercept $b$ is $-4$.

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

So, the correct identification is:

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