4E (Graphing Linear Relationships)

Match the equation to the correct graph:

 $y=6x+4$  

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Answer explanation

 $y=\frac{6}{1}x+4$  
1. Plot the y-intercept (0,4)
2. Use the slope to find more points (rise 6, run 1)

Match the equation to the correct graph:

 $y=-8x+5$  

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Answer explanation

 $y=-8x+5$  
 $y=-\frac{8}{1}x+5$  
1. Plot the y-intercept (0,5)
2. Use the slope to find more points (rise -8, run 1)

Match the equation to the correct graph:

 $y\ =\ -\frac{1}{3}x\ +\ 3$  

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Answer explanation

 $y\ =\ -\frac{1}{3}x\ +\ 3$  

1. Plot the y-intercept (0,3)
2. Use the slope to find more points (rise -1, run 3)

Match the equation to the correct graph.

 $y=\frac{1}{5}x+4$  

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Answer explanation

 $y=\frac{1}{5}x+4$  
1. Plot the y-intercept (0,4)
2. Use the slope to find more points (rise 1, run 5)

Match the equation to the correct graph:

 $y=-\frac{1}{2}x+7$  

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Answer explanation

 $y=-\frac{1}{2}x+7$  
1. Plot the y-intercept (0,7)
2. Use the slope to find more points (rise -1, run 2)

CHALLENGE: Convert to Slope-Intercept Form (think about how to isolate y).

 $3x+y=-7$  

•  $y=-3x-7$  

•  $y=3x-7$  

•  $y=4x$  

•  $y=-3x+7$  

Answer explanation

CHALLENGE: Convert to Slope-Intercept Form (think about how to isolate y). Then, match the equation to the correct graph.

 $2x+9y=-18$  

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Answer explanation

1. Plot the y-intercept (0,-2)
2. Use the slope to find more points (rise -2, run 9)