Questions: Draw the graph of each of the 3 equations below.

Solution Steps

The given equation is: \[ -x - 2y = -4 \]

To rewrite it in slope-intercept form (\(y = mx + b\)), solve for \(y\): \[ -2y = x - 4 \] \[ y = -\frac{1}{2}x + 2 \]

From the equation \( y = -\frac{1}{2}x + 2 \):

• The slope (\(m\)) is \(-\frac{1}{2}\).
• The y-intercept (\(b\)) is \(2\).

Plot the y-intercept (0, 2) on the graph.

From the y-intercept, use the slope \(-\frac{1}{2}\) to find another point. The slope means that for every 1 unit increase in \(x\), \(y\) decreases by \(\frac{1}{2}\):

• Starting from (0, 2), move 1 unit to the right (x = 1) and \(\frac{1}{2}\) unit down (y = 1.5). This gives the point (1, 1.5).

Draw a straight line through the points (0, 2) and (1, 1.5).

Final Answer