Question

a given line has the equation (10x+2y=-2).

what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point ((0, 12))?

(y=-5x+12)
(5x+y=12)
(y-12=5(x-0))
(5x+y=-1)

Explanation:

Find the slope of the given line

Using the Slope of a Line knowledge point

$$
LATEXBLOCK0
$$

The slope of the given line is \(m = -5\).

Determine the slope of the parallel line

Using the Parallel Line Equations knowledge point

$$ m_{\text{parallel}} = m = -5 $$

Write the equation in slope-intercept form

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(y=-5x+12\) (Correct answer)
• (B) \(5x+y=12\)
• (C) \(y-12=5(x-0)\)
• (D) \(5x+y=-1\)