SOLUTION: Find the x-intercept and y-intercept of the line given by the equation: 9x-6y=11 x-intercept= y-intercept=

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find the x-intercept and y-intercept of the line given by the equation: 9x-6y=11 x-intercept= y-intercept=       Log On


   



Question 350674: Find the x-intercept and y-intercept of the line given by the equation:
9x-6y=11
x-intercept=
y-intercept=

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


To find the x-intercept, plug in y=0 and solve for x


9x-6y=11 Start with the given equation.


9x-6%280%29=11 Plug in y=0.


9x-0=11 Multiply -6 and 0 to get 0.


9x=11 Simplify.


x=%2811%29%2F%289%29 Divide both sides by 9 to isolate x.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


9x-6y=11 Start with the given equation.


9%280%29-6y=11 Plug in x=0.


0-6y=11 Multiply 9 and 0 to get 0.


-6y=11 Simplify.


y=%2811%29%2F%28-6%29 Divide both sides by -6 to isolate y.


y=-11%2F6 Reduce.


So the y-intercept is .


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Jim