To convert the equation \( 2x - y = -7 \) into the slope-intercept form \( y = mx + b \), follow these steps:

### Step 1: Isolate \( y \) on one side of the equation.

\[
2x - y = -7
\]

Subtract \( 2x \) from both sides:

\[
-y = -2x - 7
\]

### Step 2: Multiply through by \( -1 \) to make the coefficient of \( y \) positive:

\[
y = 2x + 7
\]

### Final Result:

The equation in slope-intercept form is:

\[
y = 2x + 7
\]

Here, the slope \( m = 2 \) and the y-intercept \( b = 7 \).

Would you like further details on this or have any questions?

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Here are 5 related questions to expand on this:
1. How do you interpret the slope and y-intercept of this line geometrically?
2. What is the x-intercept of the line \( y = 2x + 7 \)?
3. How do you graph the line given its equation in slope-intercept form?
4. How do you convert a linear equation in point-slope form to slope-intercept form?
5. Can you convert an equation like \( ax + by = c \) into slope-intercept form in general?

**Tip**: In slope-intercept form \( y = mx + b \), \( m \) gives the slope (rate of change), and \( b \) is the point where the line crosses the y-axis!

Learn how to convert the linear equation 2x - y = -7 into slope-intercept form (y = mx + b) with a step-by-step explanation. This problem covers essential algebraic concepts, including isolating y and understanding the slope and y-intercept. Suitable for students in Grades 8-10.

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