Question

question 5 of 10

what is the point-slope form of a line with slope \\(\frac{2}{5}\\) that contains the point (-3, 6)?

a. \\(y + 6 = \frac{2}{5}(x + 3)\\)
b. \\(y - 6 = \frac{2}{5}(x + 3)\\)
c. \\(y - 6 = -\frac{2}{5}(x + 3)\\)
d. \\(y - 3 = \frac{2}{5}(x + 3)\\)

Explanation:

Identify the point-slope formula

$$ y - y_1 = m(x - x_1) $$

Substitute the given values

$$
LATEXBLOCK0
$$

Simplify the equation

$$ y - 6 = \frac{2}{5}(x + 3) $$

Answer:

• (A) \(y+6=\frac{2}{5}(x+3)\)
• (B) \(y-6=\frac{2}{5}(x+3)\) (Correct answer)
• (C) \(y-6=-\frac{2}{5}(x+3)\)
• (D) \(y-3=\frac{2}{5}(x+3)\)