Question

question 8 of 10

what is the equation of the following line? be sure to scroll down first to see all answer options.

a. \\(y = 2x\\)
b. \\(y = -6x\\)
c. \\(y = 3x\\)
d. \\(y = -\frac{1}{2}x\\)
e. \\(y = 6x\\)
f. \\(y = \frac{1}{2}x\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{-\frac{1}{2} - 0} = \frac{-3}{-\frac{1}{2}} = 6 $$

Determine the equation of the line

$$
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$$

Answer:

• A. \(y = 2x\)
• B. \(y = -6x\)
• C. \(y = 3x\)
• D. \(y = -\frac{1}{2}x\)
• E. \(y = 6x\) (Correct answer)
• F. \(y = \frac{1}{2}x\)