Question

(a) draw a scatter plot of the data.
(b) find the equation of the line, in slope - intercept form, containing the points (5, 2.2) and (9, 2.6)
(c) graph the line found in part (b) on the scatter plot.
x: 2, 4, 5, 8, 9
y: 1.3, 1.7, 2.2, 2.3, 2.6

6 graph the line found in part (b) on the scatter plot. choose the correct graph below
a.
b.
c.
d.
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Explanation:

Step1: Analyze the data points

The given x-values are 2, 4, 5, 8, 9 and corresponding y-values are 1.3, 1.7, 2.2, 2.3, 2.6. Also, the line from part (b) passes through (5, 2.2) and (9, 2.6).

Step2: Check the range of x and y

The x - values range from 2 to 9, and y - values range from 1.3 to 2.6. Now, let's analyze the graphs:

• Graph A: Seems to have a larger range of y - values (up to 5) which does not match our data's y - range (1.3 - 2.6).
• Graph B: The x - axis range and y - axis range (around 0 - 3 for y and 0 - 10 for x) match our data. Also, the data points and the line (passing through (5, 2.2) and (9, 2.6)) seem to fit.
• Graph C: The y - axis range is too low (around 0 - 2) and the data points do not seem to align with our data.
• Graph D: The x - axis range and the position of data points do not seem to match our data (x from 2 - 9, y from 1.3 - 2.6).

Answer:

B. The graph labeled B