SOLUTION: Find any intercepts. Then graph the linear equation x-4y=12

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Question 585365: Find any intercepts. Then graph the linear equation x-4y=12
Answer by jim_thompson5910(35256) About Me  (Show Source):
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x-intercept


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


x-4y=12 Start with the given equation.


x-4%280%29=12 Plug in y=0.


x-0=12 Multiply -4 and 0 to get 0.


x=12 Simplify.


So the x-intercept is .


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y-intercept


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


x-4y=12 Start with the given equation.


0-4y=12 Plug in x=0.


-4y=12 Simplify.


y=%2812%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=-3 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 x-4y=12.


Graph of x-4y=12

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