Review for Quiz Unit 5 #2

Write the point-slope form of the equation of the line through the given point with the given slope.

Through  $\left(-4,\ 1\right)$  , slope =  $-\frac{5}{4}$  

•  $y+4=-\frac{1}{15}\left(x-1\right)$  

•  $y+4=-5\left(x+1\right)$  

•  $y-1=\frac{16}{5}\left(x+4\right)$  

•  $y-1=-\frac{5}{4}\left(x+4\right)$  

Write the point-slope form of the equation of th eline through the given points.

through:  $\left(1,\ -3\right)$  and  $\left(0,\ -1\right)$  

•  $y+1=x-3$  

•  $y-3=5\left(x-1\right)$  

•  $y+3=-2\left(x-1\right)$  

•  $y+3=x+1$  

Sketch the graph of each line.

x-intercept:  $-4$  , y-intercept:  $-1$  

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Sketch the graph of each line.

 $x-2y=-10$  

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Write the standard form of each line.

 $0=-3-y$  

•  $y=3$  

•  $x=3$  

•  $y=-3$  

•  $4y=3$  

Write the standard form of each line.

 $0=-3x+2-y$  

•  $3x-y=-2$  

•  $x+2y=1$  

•  $x-y=-2$  

•  $3x+y=2$  

Write the slope-interceptform of the equation of the line described.

Through:  $\left(-2,\ 4\right)$ , parallel to  $y=-\frac{5}{2}x-4$  

•  $y=-\frac{5}{2}x-1$  

•  $y=\frac{5}{2}x-1$  

•  $y=\frac{1}{2}x-1$  

•  $y=-\frac{1}{2}x-1$  

Write the slope-interceptform of the equation of the line described.

Through:  $\left(0,\ -3\right)$ , parallel to  $y=-3x+5$  

•  $y=3x-1$  

•  $y=-3x+5$  

•  $y=-3x-1$  

•  $y=-x-3$  

Write the slope-interceptform of the equation of the line described.

Through:  $\left(-1,\ 4\right)$ , perp. to  $y=\frac{1}{8}x-3$  

•  $y=-2x-4$  

•  $y=2x-4$  

•  $y=-8x-4$  

•  $y=x-4$  

Write the slope-interceptform of the equation of the line described.

Through:  $\left(-3,\ 2\right)$ , perp. to  $y=3x-4$  

•  $y=\frac{4}{3}x-\frac{1}{3}$  

•  $y=x-\frac{1}{3}$  

•  $y=-\frac{4}{3}x-\frac{1}{3}$  

•  $y=-\frac{1}{3}x+1$