Question

y = -5x + 4
option 1
option 2

Explanation:

Step1: Analyze the slope and y-intercept

The equation is \( y = -5x + 4 \). The slope (\( m \)) is \(-5\) (negative, steep) and the y-intercept (\( b \)) is \( 4 \) (so the line crosses the y-axis at \( (0, 4) \)).

Step2: Evaluate each option

• Option 1: The line has a positive slope (increasing), which doesn't match \( m = -5 \) (negative). Eliminate.
• Option 2: The line crosses the y-axis at \( (0, 4) \) (matches \( b = 4 \)) and has a steep negative slope (matches \( m = -5 \)).
• Lower two options: Slopes are shallow (close to 0), not steep like \( -5 \). Eliminate.

Answer:

Option 2