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:
-
Start with the original equation: \[ x - 4y = -24 \]
-
Subtract \(x\) from both sides: \[ -4y = -x - 24 \]
-
Divide every term by \(-4\) to solve for \(y\): \[ y = \frac{1}{4}x + 6 \]
So, the equation in slope-intercept form is: \[ y = \frac{1}{4}x + 6 \]