Question

y = 3x + 4
option 1 option 2
option 3 option 4

Explanation:

Step1: Analyze the slope and y-intercept

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

Step2: Evaluate each option

• Option 1: The slope is small (less than 3) and the y-intercept looks like 4? Wait, no, the slope here is gentle. Incorrect.
• Option 2: The slope is negative (line falls from left to right). Incorrect.
• Option 3: The line crosses the y-axis at \( (0, 4) \) and has a steep positive slope (consistent with slope 3). Let's check points. For \( x = 0 \), \( y = 4 \); \( x = 1 \), \( y = 7 \)? Wait, the graph shows points that fit a slope of 3 (rise 3, run 1). Correct.
• Option 4: The slope is negative. Incorrect.

Answer:

Option 3