Question

question 14

find the equation of a line that passes through the points (4, 1) and (12, -3).

• \\(y = 5x + 21\\)
• \\(y = -5x - 21\\)
• \\(y = \frac{1}{2}x - 3\\)
• \\(y = -\frac{1}{2}x + 3\\)

Explanation:

Calculate the slope of the line

Using the Slope Formula knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 1}{12 - 4} = \frac{-4}{8} = -\frac{1}{2} $$

Write the equation in point-slope form

Using the Point-Slope Form knowledge point

$$
LATEXBLOCK0
$$

Convert to slope-intercept form

Using the Point-Slope Form knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(y = 5x + 21\)
• (B) \(y = -5x - 21\)
• (C) \(y = \frac{1}{2}x - 3\)
• (D) \(y = -\frac{1}{2}x + 3\) (Correct answer)