Question

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

Answer 1

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

Starting with the given equation:

\[ 4x - 3y = 12 \]

1. Subtract \(4x\) from both sides:

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

2. Divide every term by \(-3\):

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

Now, we can identify the slope and y-intercept:

- The slope (\(m\)) is \(\frac{4}{3}\).
- The y-intercept (\(b\)) is \(-4\).

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