Question

1. \\( y = x - 5 \\)

Explanation:

Step1: Find two points on the line

To graph \( y = x - 5 \), we can find two points by choosing values for \( x \) and calculating \( y \).

• When \( x = 0 \), \( y = 0 - 5 = -5 \). So one point is \( (0, -5) \).
• When \( x = 5 \), \( y = 5 - 5 = 0 \). So another point is \( (5, 0) \).

Step2: Plot the points and draw the line

Plot the points \( (0, -5) \) and \( (5, 0) \) on the coordinate grid. Then, draw a straight line passing through these two points. This line represents the equation \( y = x - 5 \).

Answer:

The graph of \( y = x - 5 \) is a straight line passing through the points \( (0, -5) \) and \( (5, 0) \) (and other points on the line) as plotted on the given coordinate grid.