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Geometry Regents Prep: Equation of a Line (Including Parallel & Perpendicular Lines)

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Equation of a Line

Try the following practice question.

Given the equation of a line $y = \dfrac{3}{2}x + 8$ , what is the slope?

8

$\dfrac{2}{3}$

$\dfrac{3}{2}$

-8

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Finding the Equation of a Line, Given the Slope and a Point

Try the following practice question.

What is the equation of the line that passes through (4, 5) and has a slope of $\dfrac{3}{2}$ ?

$y = 4x + \dfrac{3}{2}$

$y = \dfrac{3}{2}x +5$

$y = 3x + 2$

$y = \dfrac{3}{2}x - 1$

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Slope of Parallel and Perpendicular Lines

Try the following practice question.

What is the slope of a line that is parallel to $y = 2x +7$

$-2$

$7$

$-\dfrac{1}{2}$

$-7$

$2$

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What is the equation of the line that is perpendicular to $y = -\dfrac{3}{2}x - 8$ and passes through the point (6, -3)?

$y = \dfrac{3}{2}x - 12$

$y = \dfrac{2}{3}x - 7$

$y = -\dfrac{2}{3}x + 1$

$y = -\dfrac{3}{2}x + 6$

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