The equation given is:

$2x + y = -4$

We want to express this equation in slope-intercept form ($y = mx + b$), where $m$ is the slope and $b$ is the y-intercept.

Step 1: Convert to slope-intercept form

Starting with: $2x + y = -4$ Subtract $2x$ from both sides: $y = -2x - 4$

Step 2: Identify slope and intercept

• The slope $m$ is $-2$.
• The y-intercept $b$ is $-4$, meaning the line crosses the y-axis at $(0, -4)$.

Step 3: Drawing the graph

1. Start at the y-intercept $(0, -4)$.
2. Use the slope $m = -2$, which means for every 1 unit you move to the right (positive direction on the x-axis), you move 2 units down (negative direction on the y-axis).

Two points on the line are:

• $(0, -4)$ from the y-intercept.
• Moving right 1 unit: $(1, -6)$.

Plot these points and draw a straight line through them.

Would you like more details on how to graph it?

5 Related Questions:

1. How do you find the x-intercept of this line?
2. What changes if the slope is positive instead of negative?
3. How do you graph a line given two points?
4. How do you determine if two lines are parallel?
5. How do you find the slope between two points?

Tip

When converting to slope-intercept form, always isolate $y$ for easier graphing!