Question

write an equation for the line parallel to the given line that contains c.

\\(c(4,6)\\); \\(y = -4x + 7\\)

\\(y = \\)
(type your answer in slope-intercept form.)

Explanation:

Identify the slope of the given line

Using the Slope-Intercept Form knowledge point

$$
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$$

Determine the slope of the parallel line

Parallel lines have equal slopes.

$$ m_{\text{parallel}} = -4 $$

Write the equation using point-slope form

Using the Point-Slope Form knowledge point

$$
LATEXBLOCK1
$$

Convert to slope-intercept form

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Answer:

Write an equation for the line parallel to the given line that contains C.
\(C(4,6)\); \(y = -4x + 7\)

\(y =\) <blank>\(-4x + 22\)</blank>
(Type your answer in slope-intercept form.)