convert and write the equation in slope intercept form. y-5=-2(x+1)

Answer 1

To convert the equation \( y - 5 = -2(x + 1) \) into slope-intercept form (which is \( y = mx + b \)), follow these steps:

1. Distribute \(-2\) on the right side: \[ y - 5 = -2x - 2 \]

2. Add \( 5 \) to both sides to isolate \( y \): \[ y = -2x - 2 + 5 \]

3. Simplify the right side: \[ y = -2x + 3 \]

So, the equation in slope-intercept form is: \[ y = -2x + 3 \]