Understanding and using slopes

Select the correct description for these lines:

• parallel

• perpendicular

• neither

Are these lines parallel, perpendicular, or neither?

• parallel

• perpendicular

• neither

What slope is parallel to: 

 $\frac{3}{4}$  

•  $\frac{4}{3}$  
  

•  $\frac{3}{4}$  
  

•  $-\frac{3}{4}$  
  

•  $-\frac{4}{3}$  
  

• Parallel

• Perpendicular

• Intersecting (but not perpendicular)

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

• $\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}$

• $\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$

• $\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$

• $\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$

Solve for x.

• 3
• 6
• 8
• 9

Are the lines L1 and L2 passing through the given pairs of points parallel, perpendicular or neither?

L1: (0, 3), (3, 1) L2: (-1, 4), (-7, -5)

• Parallel

• Perpendicular

• Parallel

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

• $\frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}$

• $\frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}$

• $\frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}$

• $\frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}$

• $\frac{\sin\theta}{\cos\theta}$

• $\frac{\cos\theta}{\sin\theta}$

• $\sin\theta$

• $\cos\theta$