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SAT Math: Parallel and Perpendicular Lines 2

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1.

In the xy-plane above, line $m$ is parallel to line $l$ . What is the value of $n$ ?

$3$

$6$

$7$

$9$

2. Which of the following is the equation of a line that is parallel to the line $\dfrac{11}{5} + \dfrac{7}{5} y =x$ and passes through the origin?

$5x$

$-\dfrac{11}{7} x$

$\dfrac{5}{7} x$

$7x$

3. What is the equation of a line that is perpendicular to $y=-\dfrac{5}{6} x +4$ and passes through $(5,4)$ ?

$y= -\dfrac{2}{5} x + \dfrac{6}{5}$

$y=2x+ \dfrac{5}{6}$

$y= \dfrac{6}{5} x -2$

$y=-2x-2$

4. What is the equation of a line that is parallel to $y=2x+5$ and passes through $(3,5)$ ?

$y=2x-1$

$y=-2x-1$

$-x-3=y$

$-3x+1=y$

5. What is the equation of a line that is parallel to $2y+3x=6$ and passes through the point $(2,-1)$ ?

$y=\dfrac{2}{3} x+3$

$y= -\dfrac{1}{3} x -5$

$y= \dfrac{1}{3} x+6$

$y= -\dfrac{3}{2} x+2$

6. Which is an equation of a line that is perpendicular to $-\dfrac{1}{4} y = 1 + \dfrac{1}{10} x$ ?

$y= \dfrac{5}{6} x-1$

$y= \dfrac{5}{2} x+6$

$y= \dfrac{2}{3} x+3$

$y= \dfrac{2}{5} x-4$

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