4

Sure! Let's graph the linear functions given in the exercise:

a) \( y = 2x - 5 \) b) \( y = -3x + 4 \) c) \( y = -x - 3 \) d) \( y = -0.5x + 1.5 \) e) \( y = -x + 1 \) f) \( y = -2.5x + 0.25 \)

For each function, identify the slope and y-intercept, then use them to plot each line:

• The slope \( m \) determines the steepness and direction.
• The y-intercept \( b \) is where the line crosses the y-axis.

Step-by-Step:

1. Identify \( m \) and \( b \) in each formula \( y = mx + b \).
2. Plot the y-intercept on the graph.
3. Use the slope to find another point: from the y-intercept, move up (or down based on the sign) and right according to the slope.
4. Draw the line through the points.

Graph each line on a coordinate plane!