SOLUTION: What is the slope and the y and x intercepts for 2x -3y = 18

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Question 991592: What is the slope and the y and x intercepts for 2x -3y = 18
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

to find the slope and the y and x intercepts for 2x+-3y+=+18, first write it in slope-intercept form y=mx%2Bb where m is a slope and b is y-intercept
2x+-3y+=+18
2x+-18+=+3y
2x%2F3+-18%2F3+=+3y%2F3
y=%282%2F3%29x+-6
so, the slope is 2%2F3 and y-intercept is -6 or at point (0,-6)
now find x-intercept: set y=0 and solve for x
0=%282%2F3%29x+-6
0%2B6=2x%2F3+
6%2A3=2x+
18=2x+
x=18%2F2+
x=9+=> x-intercept is 9 or at point (9,0)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%282%2F3%29x+-6%29+