Question

what is the equation of the line of best fit?
y = 5x + 25
y = x + 25
y = 25x + 5
y = 25x + 1

Explanation:

Step1: Analyze the graph's slope and intercept

The graph shows a line with a negative slope? Wait, no, wait—wait, the options have positive slopes? Wait, maybe I missee. Wait, the line of best fit: let's check the slope. Wait, the options are \( y = 5x + 25 \), \( y = x + 25 \), \( y = 25x + 5 \), \( y = 25x + 1 \). Wait, maybe the graph has a shallow slope? Wait, no, maybe the original graph (the white one) has a line with a slope. Wait, maybe the correct one is \( y = x + 25 \)? Wait, no, wait—wait, maybe the slope is 1? Wait, no, let's think again. Wait, the line of best fit: let's check the y-intercept. The y-intercept seems around 25, and the slope is small. So between the options, \( y = x + 25 \) (second option) has slope 1 and y-intercept 25. Wait, but maybe the first option is \( y = 5x + 25 \)? Wait, no, the graph's slope—wait, maybe the correct answer is the second option: \( y = x + 25 \). Wait, but let's re-examine. The options are:

1. \( y = 5x + 25 \)
2. \( y = x + 25 \)
3. \( y = 25x + 5 \)
4. \( y = 25x + 1 \)

The line in the graph (white card) has a slope that's not very steep, so slope 1 or 5? Wait, maybe the correct one is \( y = x + 25 \) (option 2). Wait, but maybe I made a mistake. Wait, the line of best fit: if the points are close to a line with slope 1 and y-intercept 25, then \( y = x + 25 \) is correct.

Step2: Confirm the slope and intercept

The y-intercept (when x=0) should be around 25, and the slope (rise over run) is 1 (since for each x increase, y increases by 1). So the equation \( y = x + 25 \) matches.

Answer:

1. \( y = x + 25 \)