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For this equation: 3y + 6x = -24

a. Find the slope: ___________

b. Find the Y intercept: ______________

c. Graph the line.

 Oct 30, 2014

Best Answer 

 #1
avatar+23247 
+5

The slope-intercept form for a straight line is:  y  =  mx + b

where m is the slope and b is the y-intercept.

So, solve the equation for y (get y alone on one side):

    3y + 6x  =  -24

subtract 6x from both sides:

    3y  =  -6x - 24

divide both sides by 3:

      y  =  -2x - 8

m = -2    <---   slope

b = -8   <---  y-intercept

To graph the line, place a dot on the y-axis at -8; then find more points by using the slope of -2,

which means move to the right one mark and down two marks, place a dot there, move to the right another mark and down another two marks and place a dot there ...  Connect all the dots with a straight line.

 Oct 30, 2014
 #1
avatar+23247 
+5
Best Answer

The slope-intercept form for a straight line is:  y  =  mx + b

where m is the slope and b is the y-intercept.

So, solve the equation for y (get y alone on one side):

    3y + 6x  =  -24

subtract 6x from both sides:

    3y  =  -6x - 24

divide both sides by 3:

      y  =  -2x - 8

m = -2    <---   slope

b = -8   <---  y-intercept

To graph the line, place a dot on the y-axis at -8; then find more points by using the slope of -2,

which means move to the right one mark and down two marks, place a dot there, move to the right another mark and down another two marks and place a dot there ...  Connect all the dots with a straight line.

geno3141 Oct 30, 2014

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