Question

question 25 of 25

what is the equation of the line containing the points \\((7, 3)\\), \\((14, 6)\\), and \\((21, 9)\\)?

a. \\(y = \frac{1}{7}x\\)

b. \\(y = \frac{3}{7}x\\)

c. \\(y = x - 4\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{14 - 7} = \frac{3}{7} $$

Determine the y-intercept

$$
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Answer:

• (A) \(y = \frac{1}{7}x\)
• (B) \(y = \frac{3}{7}x\) (Correct answer)
• (C) \(y = x - 4\)