Question

write an equation for a line passing through the given point that is parallel to the given line. then write a second equation for a line passing through the given point that is perpendicular to the given line.

\\((-7, 0)\\), \\(y = -0.3x + 4.4\\)

a slope-intercept equation for a line passing through the point \\((-7, 0)\\) that is parallel to \\(y = -0.3x + 4.4\\) is \\(y = -0.3x - 2.1\\).
(simplify your answer. type your answer in slope-intercept form. use integers or decimals for any numbers in the equation.)

a second slope-intercept equation for a line passing through the point \\((-7, 0)\\) that is perpendicular to the given line is \\(\square\\).
(simplify your answer. type your answer in slope-intercept form. use integers or decimals for any numbers in the equation.)

Explanation:

Identify the given line and point

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Determine the perpendicular slope

Using the Parallel and Perpendicular Lines knowledge point

$$
LATEXBLOCK1
$$

Find the perpendicular line equation

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Answer:

A second slope-intercept equation for a line passing through the point \((-7, 0)\) that is perpendicular to the given line is <blank>\(y = \frac{10}{3}x + \frac{70}{3}\)</blank>