To write the equation 2x - y = -7 in slope-intercept form, which is y = mx + b, where (m) is the slope and (b) is the y-intercept, follow these steps:
1. Add (y) to both sides of the equation to isolate the (y)-term on the left side:
(2x - y + y = -7 + y)
2. This simplifies to:
(2x = y - 7)
3. Now, to make it look like (y = mx + b), we'll isolate (y). Add 7 to both sides:
(2x + 7 = y)
4. Rearrange the equation to get \(y\) on the left side:
(y = 2x + 7)
So, the equation (2x - y = -7) in slope-intercept form is (y = 2x + 7).