Review Parallel and Perpendicular Lines

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Mathematics

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9th Grade

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Sherri Morrisey

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3 Slides • 7 Questions

Review Parallel and Perpendicular Lines

Parallel Lines

Parallel lines have the same slope.

Remember the point-slope formula is:

y - y₁= m(x - x₁)

Writing a line perpendicular to a given line

Multiple Choice

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

Write an equation of a line that is perpendicular to the given equation above and passes through point (4, 3)

What would be the NEW perpendicular slope to use when writing a new equation?

$-\frac{2}{3}$

$\frac{3}{2}$

$-\frac{3}{2}$

$\frac{2}{3}$

Multiple Choice

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

Write an equation of a line that is perpendicular to the given equation above and passes through point (4, 3)

Which is the correct process for plugging in writing the new equations?

y- 4 = $\frac{2}{3}$ (x - 3)

$y+4=\frac{3}{2}\left(x+3\right)$

$y-3=-\frac{3}{2}\left(x-4\right)$

$y-4=\frac{3}{2}\left(x-3\right)$

Multiple Choice

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

Write an equation of a line that is perpendicular to the given equation above and passes through point (4, 3)

After using the point-slope formula to write a new equation, what would be the next s

$-\frac{2}{3}$

$\frac{3}{2}$

$-\frac{3}{2}$

$\frac{2}{3}$

Multiple Choice

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2? Write your answer in point-slope form

y - 5 = 2(x + 4)

y - 5 = -1/2(x + 4)

y - 5 = 5/2(x + 4)

y - 5 = -2/5(x + 4)

Multiple Choice

The equation of Line J is written as

y=9x+\frac{9}{5}

Line H is perpendicular to Line J and passes through the point

\left(-8,\ 2\right)

$y=-\frac{1}{9}+\frac{26}{9}$

$y=9x+74$

$y=9x-70$

$y=-\frac{1}{9}x+\frac{10}{9}$

Fill in the Blanks

Find the equation of a line that is parallel to $y=\frac{7}{3}x+1$ and passes through the point $\left(3,\ 2\right)$ .

Type answer...

Multiple Choice

The equation of Line J is written as

y=9x+\frac{9}{5}

Line H is perpendicular to Line J and passes through the point

\left(-8,\ 2\right)

$y=-\frac{1}{9}+\frac{26}{9}$

$y=9x+74$

$y=9x-70$

$y=-\frac{1}{9}x+\frac{10}{9}$

Review Parallel and Perpendicular Lines

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