To convert the equation \(3x + 4y = -8\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
-
Isolate the \(y\) term: Start by moving the \(3x\) term to the right side of the equation. \[ 4y = -3x - 8 \]
-
Divide by 4 to solve for \(y\): \[ y = -\frac{3}{4}x - 2 \]
Now, the equation is in slope-intercept form. Thus, the final result is: \[ y = -\frac{3}{4}x - 2 \]
Here, the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(-2\).
1 answer