Question

question 10 of 10

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

a. \\(y = -4x\\)
b. \\(y = \frac{1}{4}x\\)
c. \\(y = -\frac{3}{4}x\\)
d. \\(y = -\frac{4}{3}x\\)
e. \\(y = 3x\\)
f. \\(y = -3x\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{4 - 0} = -\frac{3}{4} $$

Write the equation in slope-intercept form

$$
LATEXBLOCK0
$$

Answer:

• A. \(y = -4x\)
• B. \(y = \frac{1}{4}x\)
• C. \(y = -\frac{3}{4}x\) (Correct answer)
• D. \(y = -\frac{4}{3}x\)
• E. \(y = 3x\)
• F. \(y = -3x\)