Question

x + y = -4

Explanation:

Step1: Rewrite the equation

We have the linear equation \(x + y = -4\). Let's rewrite it in slope - intercept form (\(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept). Solve for \(y\):
\(y=-x - 4\)

Step2: Find two points on the line

• When \(x = 0\), substitute \(x = 0\) into \(y=-x - 4\). Then \(y=-0 - 4=-4\). So one point is \((0,-4)\).
• When \(x=-4\), substitute \(x = - 4\) into \(y=-x - 4\). Then \(y=-(-4)-4=4 - 4 = 0\). So another point is \((-4,0)\).

Step3: Plot the points and draw the line

On the given coordinate grid, locate the point \((0,-4)\) (on the y - axis, 4 units below the origin) and the point \((-4,0)\) (on the x - axis, 4 units to the left of the origin). Then draw a straight line passing through these two points. This line represents the graph of the equation \(x + y=-4\).

Answer:

To graph \(x + y=-4\) (or \(y=-x - 4\)), plot the points \((0,-4)\) and \((-4,0)\) on the coordinate grid and draw a straight line through them.