Question

find the equation of a line that passes through the points (-4, -2) and (6, 3).

a.) \\(y = -2x + 15\\)

b.) \\(y = \frac{1}{2}x\\)

c.) \\(y = 2x - 9\\)

d.) \\(y = -\frac{1}{2}x + 6\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - (-2)}{6 - (-4)} = \frac{5}{10} = \frac{1}{2} $$

Determine the y-intercept

$$
LATEXBLOCK0
$$

Answer:

• a.) \(y = -2x + 15\)
• b.) \(y = \frac{1}{2}x\) (Correct answer)
• c.) \(y = 2x - 9\)
• d.) \(y = -\frac{1}{2}x + 6\)