Review Parallel and Perpendicular Lines

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  $\left(3,\ 2\right)$  .

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 $\left(-8,\ 2\right)$ ? 

•  $y=-\frac{1}{9}+\frac{26}{9}$  

•  $y=9x+74$  

•  $y=9x-70$  

•  $y=-\frac{1}{9}x+\frac{10}{9}$