Question

y = \frac{3}{4}x - 5
option 1
option 2

Explanation:

Step1: Analyze the slope and y-intercept

The equation is \( y = \frac{3}{4}x - 5 \). The slope (\( m \)) is \( \frac{3}{4} \) (positive, so the line should rise from left to right) and the y-intercept (\( b \)) is \( -5 \) (the line crosses the y-axis at \( (0, -5) \)).

Step2: Evaluate Option 1

Option 1 has a positive slope (rises left to right) and appears to cross the y-axis near \( (0, -5) \), matching the y-intercept. The slope's rise over run (3 up, 4 right) is consistent with \( \frac{3}{4} \).

Step3: Evaluate Option 2

Option 2 has a negative slope (falls left to right), which contradicts the positive slope of \( \frac{3}{4} \). So Option 2 is incorrect.

(Note: Assuming only Option 1 and 2 are shown here with the others partially visible, but based on slope and y-intercept, Option 1 is correct.)

Answer:

Option 1