Slope Intercept Form Test

Question 1 of 5: Write each in Slope-Intercept Form

$$y\hspace{-.2em}-\hspace{-.2em}intercept\hspace{-.2em}:\hspace{-.2em}(0,4),m=\frac{1}{5}$$ $$y\hspace{-.2em}-\hspace{-.2em}intercept\hspace{-.2em}:\hspace{-.2em}(0,4)$$$$m=\frac{1}{5}$$

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$$x-5y=-20$$

$$y=5x+4$$

$$y=\frac{1}{5}x+4$$

$$y=4x+\frac{1}{5}$$

$$4x+\frac{1}{5}y=20$$

Question 2 of 5: Write each in Slope-Intercept Form

$$y\hspace{-.2em}-\hspace{-.2em}intercept\hspace{-.2em}:\hspace{-.2em}(0,-3),m=-\frac{2}{3}$$ $$y\hspace{-.2em}-\hspace{-.2em}intercept\hspace{-.2em}:\hspace{-.2em}(0,-3)$$$$m=-\frac{2}{3}$$

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$$y=-3x-\frac{2}{3}$$

$$y=-3x-2$$

$$y=\frac{3}{2}x-3$$

$$-2x+3y=-9$$

$$y=-\frac{2}{3}x-3$$

Question 3 of 5: Write each in Point-Slope Form

$$through\hspace{-.2em}:\hspace{-.2em}(-2,-3),m=2$$ $$through\hspace{-.2em}:\hspace{-.2em}(-2,-3)$$$$m=2$$

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$$y+2=2(x+3)$$

$$-2x+y=1$$

$$y-1=3x-5$$

$$y-(-3)=2(x-(-2))$$

$$y-(-2)=2(x-(-3))$$

Question 4 of 5: Write each in Point-Slope Form

$$through\hspace{-.2em}:\hspace{-.2em}(4,-4),m=-\frac{9}{4}$$ $$through\hspace{-.2em}:\hspace{-.2em}(4,-4)$$$$m=-\frac{9}{4}$$

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$$y-4=\frac{9}{4}(x-(-4))$$

$$9x+4y=20$$

$$y-(-4)=-\frac{9}{4}(x-4)$$

$$y+4=-\frac{9}{4}(x+4)$$

$$y+9=-\frac{4}{9}(x+4)$$

Question 5 of 5: Write each in Standard Form

$$through\hspace{-.2em}:\hspace{-.2em}(5,-5),m=-\frac{3}{5}$$ $$through\hspace{-.2em}:\hspace{-.2em}(5,-5)$$$$m=-\frac{3}{5}$$

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$$5x+3y=10$$

$$5y=-3x-10$$

$$3x+5y=-10$$

$$y=-\frac{9}{4}x+5$$

$$x-5y=-3$$

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