SOLUTION: I need to solve for intercepts and graph this equation 18y-6x=36

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Question 215081: I need to solve for intercepts and graph this equation
18y-6x=36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
18y-6x=36 Start with the given equation.


-6x%2B18y=36 Rearrange the terms.


Now let's find the x and y intercepts.


x-intercept


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


-6x%2B18y=36 Start with the given equation.


-6x%2B18%280%29=36 Plug in y=0.


-6x%2B0=36 Multiply 18 and 0 to get 0.


-6x=36 Simplify.


x=%2836%29%2F%28-6%29 Divide both sides by -6 to isolate x.


x=-6 Reduce.


So the x-intercept is .


------------------------------------------


y-intercept


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


-6x%2B18y=36 Start with the given equation.


-6%280%29%2B18y=36 Plug in x=0.


-0%2B18y=36 Multiply -6 and 0 to get 0.


18y=36 Simplify.


y=%2836%29%2F%2818%29 Divide both sides by 18 to isolate y.


y=2 Reduce.


So the y-intercept is .


Now plot the points:

Graph of -6x%2B18y=36


and draw a straight line through the points to graph the equation -6x%2B18y=36


Graph of -6x%2B18y=36