The equation, 2x – y = -7, is in standard form; the slope-intercept form of this line is

1. ### Break Down the Problem

To convert the given equation from standard form to slope-intercept form, we need to isolate $y$ on one side of the equation.

2. ### Relevant Concepts

The slope-intercept form of a line is given by the equation: $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.

3. ### Analysis and Detail

Starting with the given equation: $2x - y = -7$ we can solve for $y$.

Step 1: Rearranging the equation

Move $2x$ to the right side: $-y = -2x - 7$

Step 2: Multiply through by -1

To get $y$ by itself: $y = 2x + 7$

4. ### Verify and Summarize

The slope-intercept form of the equation $y = 2x + 7$ confirms that the slope $m$ is $2$ and the y-intercept $b$ is $7$.

Final Answer

The slope-intercept form of the line is: $y = 2x + 7$