Parallel Lines Quiz 1

Question 1

What is the equation of a line parallel to $$y=-8x+11$$ and passing through the point $$(4, -5)$$?

Accepted Answer

$$y=-8x+27$$

Answer

$$y=-8x+32$$

Answer

$$y=-6x+17$$

Answer

$$y=-4x+17$$

Question 2

What is the value of $$y$$ so that the line through $$\left( 6,y \right)$$ and $$\left( 3,9 \right)$$ is parallel to the line through $$\left( -2,5 \right)$$ and $$\left( 0,7 \right)$$ ?

Accepted Answer

12

Answer

9

Answer

8

Answer

10

Question 3

Find the equation of a line passing through $$\left( \dfrac{1}{7},\dfrac{-8}{7} \right)$$ and parallel to a line which makes an angle of $${{315}^{{}^\circ }}$$ with the positive direction of x-axis.

Accepted Answer

$$x+y+1=0$$

Answer

$$x+y-7=0$$

Answer

$$7x+7y+8=0$$

Answer

$$7x+y+4=0$$

Question 4

Find the value of $$t$$ if a line $$5x-ty=7y-6$$ is parallel to $$3x+ty=y-5$$.

Accepted Answer

$$-2$$

Answer

$$3$$

Answer

$$4$$

Answer

$$\dfrac{-2}{3}$$

Question 5

If a line passing through $$\left( -s,2r \right)$$ and $$\left( s,3r \right)$$ is parallel to the line passing through $$\left( r,-s \right)$$ and $$\left( -7r,-5s \right)$$, then which of the following conditions must be true?

Accepted Answer

$${{r}^{2}}={{s}^{2}}$$

Answer

$$r=2s$$

Answer

$$\dfrac{1}{r}=s$$

Answer

$${{s}^{2}}=r$$