SOLUTION: Find both the x-intercept and the y-intercept of the line given by the equation 6x-7y-11=0

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find both the x-intercept and the y-intercept of the line given by the equation 6x-7y-11=0      Log On


   

Question 177156: Find both the x-intercept and the y-intercept of the line given by the equation
6x-7y-11=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x-7y-11=0 Start with the given equation.


6x-7y=11 Add 11 to both sides.


x-intercept


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


6x-7y=11 Start with the given equation.


6x-7%280%29=11 Plug in y=0.


6x-0=11 Multiply -7 and 0 to get 0.


6x=11 Simplify.


x=%2811%29%2F%286%29 Divide both sides by 6 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


6x-7y=11 Start with the given equation.


6%280%29-7y=11 Plug in x=0.


0-7y=11 Multiply 6 and 0 to get 0.


-7y=11 Simplify.


y=%2811%29%2F%28-7%29 Divide both sides by -7 to isolate y.


y=-11%2F7 Reduce.


So the y-intercept is .