Question

2 mark for review in the given scatterplot, a line of best fit for the data is shown. y 14 12 10 8 6 4 2 o 1 2 3 4 5 6 7 x which of the following is closest to the slope of the line of best fit shown? a 0 b 1/2 c 1 d 2

Explanation:

Step1: Identify two points on the line

The line of best fit passes through (0, 1) (approximate y-intercept) and (7, 14) (when x=7, y=14).

Step2: Calculate the slope

Slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using (0, 1) and (7, 14): $m = \frac{14 - 1}{7 - 0} = \frac{13}{7} \approx 1.86$, but also check another pair like (1, 2) and (7, 14): $m = \frac{14 - 2}{7 - 1} = \frac{12}{6} = 2$? Wait, no, looking at the graph, when x=0, y=1 (or maybe (0,1) and (7,14) is not right. Wait, better points: (0,1) and (6,13)? Wait, no, let's take (0,1) and (1,3)? Wait, no, the line starts at (0,1) (y-intercept) and when x=1, y=3? Wait, no, the first point is (0,1) (since at x=0, y is around 1) and when x=7, y is 14? Wait, no, the grid: each x and y has lines. Let's take two clear points: (0, 1) and (6, 13)? No, wait, the line of best fit: when x=0, y=1 (or maybe (0,1) and (7,15)? No, the options are 0, 1/2, 1, 2. Let's take (0,1) and (1,3): slope is (3-1)/(1-0)=2. Or (0,1) and (2,5): (5-1)/(2-0)=2. So slope is 2? Wait, no, wait the options: D is 2. Wait, but let's check again. Wait, the line goes from (0,1) to (7,15)? No, the y-axis at x=7 is 14. Wait, (0,1) and (7,14): (14-1)/7=13/7≈1.857, close to 2. So the slope is closest to 2.

Answer:

D. 2