What are the X- and y- intercepts of the line? 2x + 3y = -12
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Y intercept = -4
x intercept = -6
if we are asked to find y intercept of a line 
we should put 0 as x and solve for y :

so y intercept is -4 
if we are asked to find x intercept of a line, we should put 0 as y and solve for x :

x intercept is -6
good luck
 
                    
              
              
                
                
Subtract 2x from both sides. 
3y = - 2x - 12
Divide every term by 3 to get the y-variable by itself.
y = - 2/3x - 4
Since the equation is not in slope-intercept form (y = mx + b), your y-intercept is just the number in the b slot. Y-intercept is - 4 or (0, - 4).
Now to find your x-intercept, plug in 0 where the y-variable is and solve for x.
0 = - 2/3x - 4
4 = - 2/3x 
Multiply both sides by - 3/2 to isolate the variable. 
4(- 3/2) = x
- 12/2 = x
- 6 = x.
Your x-intercept is - 6 or (- 6, 0). 
                                
             
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