The problem asks to find the x and y intercepts of the equation $2x + y + 4 = 0$ and then sketch the graph of the equation.

1. Problem Description

The problem asks to find the x and y intercepts of the equation $2x + y + 4 = 0$ and then sketch the graph of the equation.

2. Solution Steps

First, we need to find the x-intercept. The x-intercept is the point where the graph crosses the x-axis, meaning $y = 0$.

Substitute $y = 0$ into the equation $2x + y + 4 = 0$:

$2x + 0 + 4 = 0$

$2x = -4$

$x = -2$

So, the x-intercept is $(-2, 0)$.

Next, we need to find the y-intercept. The y-intercept is the point where the graph crosses the y-axis, meaning $x = 0$.

Substitute $x = 0$ into the equation $2x + y + 4 = 0$:

$2(0) + y + 4 = 0$

$0 + y + 4 = 0$

$y = -4$

So, the y-intercept is $(0, -4)$.

Now that we have the x and y intercepts, we can sketch the graph. We have two points: $(-2, 0)$ and $(0, -4)$. We can plot these points on the coordinate plane and draw a straight line that passes through both points.

3. Final Answer

x-intercept: $(-2, 0)$

y-intercept: $(0, -4)$

The equation of the line is $2x+y+4=0$. The graph is a straight line passing through $(-2,0)$ and $(0,-4)$.