SOLUTION: Find the x- and y-intercepts for the equation. Please show all of your work. Then graph the equation. -x – 3y = 4

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y-intercepts for the equation. Please show all of your work. Then graph the equation. -x – 3y = 4      Log On


   

Question 423316: Find the x- and y-intercepts for the equation. Please show all of your work. Then graph the equation.
-x – 3y = 4
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


-x-3y=4 Start with the given equation.


-x-3%280%29=4 Plug in y=0.


-x-0=4 Multiply -3 and 0 to get 0.


-x=4 Simplify.


x=%284%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-4 Reduce.


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-3y=4 Start with the given equation.


-0-3y=4 Plug in x=0.


-3y=4 Simplify.


y=%284%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=-4%2F3 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-3y=4.


Graph of -x-3y=4


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