Rewrite in slope-intercept form.

x-4y=-24

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To rewrite the equation \(x - 4y = -24\) in slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:

  1. Start with the original equation: \[ x - 4y = -24 \]

  2. Subtract \(x\) from both sides: \[ -4y = -x - 24 \]

  3. Divide every term by \(-4\) to solve for \(y\): \[ y = \frac{1}{4}x + 6 \]

So, the equation in slope-intercept form is: \[ y = \frac{1}{4}x + 6 \]