Adv Math: Writing Equations; Parallel and Perpendicular Line

Writing Equations; Parallel and Perpendicular Line

Multiple Choice

Are these lines parallel, perpendicular, or neither?  

 $y=2x+2$  
 $y=-\frac{1}{2}x-8$  

• Parallel

• Perpendicular

• Neither

Fill in the Blank

In 1998, the average weekly first-quarter sales at Vic's Hardware store were $9250. In 1999, the average weekly first-quarter sales were $10,100. Assuming a linear relationship, find the average quarterly rate of increase.

Multiple Choice

Two lines have the equations  $2x-3y=5$  and  $6x-9y=21.$  Are they...

• Parallel

• Perpendicular

• Coinciding

• None of these

Multiple Choice

Two lines have the equations  $12x+6y=18$  and  $4x=-2y+6.$  Are these lines...

• parallel

• perpendicular

• coinciding

• none of these

Multiple Choice

What is the standard form of the line that passes through the point  $\left(3,-4\right)$  and is parallel to the graph of  $x+3y-4=0$  

•  $x+3y=-9$  

•  $x-3y=-9$  

•  $x+3y=4$  

•  $3x-4y=-34$  

Multiple Choice

What is the equation of the line that goes through the point  $\left(3,-1\right)$  and is perpendicular to the line  $y=\frac{3}{2}x-2?$  

•  $3x-2y=11$  

•  $y=-\frac{2}{3}x+3$  

•  $y=-\frac{2}{3}x+1$  

•  $2x-3y=11$