SOLUTION: find the x-and y-intercepts for the equation 2x-4y=1 show all work then graph the equation

Algebra ->  Linear-equations -> SOLUTION: find the x-and y-intercepts for the equation 2x-4y=1 show all work then graph the equation      Log On


   

Question 475584: find the x-and y-intercepts for the equation 2x-4y=1 show all work then graph the equation
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


2x-4y=1 Start with the given equation.


2x-4%280%29=1 Plug in y=0.


2x-0=1 Multiply -4 and 0 to get 0.


2x=1 Simplify.


x=%281%29%2F%282%29 Divide both sides by 2 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


2x-4y=1 Start with the given equation.


2%280%29-4y=1 Plug in x=0.


0-4y=1 Multiply 2 and 0 to get 0.


-4y=1 Simplify.


y=%281%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=-1%2F4 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph 2x-4y=1.


Graph of 2x-4y=1