Question

if \\(3x - y = 23\\) and \\(y\\) is three times \\(x\\) increased by 19, what can be said about these two functions?

• the two lines are perpendicular.
• the two lines are parallel.

Explanation:

Convert the first equation to slope-intercept form

Using the Linear Equations and Slope-Intercept Form knowledge points

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Write the second equation from the verbal description

Using the Linear Equations knowledge point

$$ y = 3x + 19 $$

Compare the slopes of the two lines

Using the Slope-Intercept Form and Parallel and Perpendicular Lines knowledge points

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Answer:

• The two lines are perpendicular.
• The two lines are parallel. (Correct answer)