Questions: Sketch the graph of each line, showing at least two points. 83) y = x^* - 4 84) y = x - 2

Sketch the graph of \(y = \frac{5}{4}x\). Find two points on the line.

When \(x = 0\), \(y = \frac{5}{4}(0) = 0\). So, \((0, 0)\) is a point on the line. When \(x = 4\), \(y = \frac{5}{4}(4) = 5\). So, \((4, 5)\) is a point on the line. Plot the points and draw the line. The line passes through the origin \((0, 0)\) and the point \((4, 5)\).

\( \boxed{ \text{The graph is a line passing through } (0, 0) \text{ and } (4, 5).} \)

Sketch the graph of \(y = -x - 2\). Find two points on the line.

When \(x = 0\), \(y = -(0) - 2 = -2\). So, \((0, -2)\) is a point on the line. When \(x = -2\), \(y = -(-2) - 2 = 2 - 2 = 0\). So, \((-2, 0)\) is a point on the line. Plot the points and draw the line. The line passes through \((0, -2)\) and \((-2, 0)\).

\( \boxed{ \text{The graph is a line passing through } (0, -2) \text{ and } (-2, 0).} \)

The graph of \(y = \frac{5}{4}x\) is a line passing through \((0, 0)\) and \((4, 5)\). The graph of \(y = -x - 2\) is a line passing through \((0, -2)\) and \((-2, 0)\).