SOLUTION: use the intercepts to graph the equation x+4y=8. would the equation read 4y=-x+8 y=-x+2 (-1,2). Is this correct.

Algebra ->  Graphs -> SOLUTION: use the intercepts to graph the equation x+4y=8. would the equation read 4y=-x+8 y=-x+2 (-1,2). Is this correct.      Log On


   

Question 182087: use the intercepts to graph the equation x+4y=8. would the equation read 4y=-x+8
y=-x+2 (-1,2). Is this correct.
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%2B4y=8 Start with the given equation.


x%2B4%280%29=8 Plug in y=0.


x%2B0=8 Multiply 4 and 0 to get 0.


x=8 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%2B4y=8 Start with the given equation.


0%2B4y=8 Plug in x=0.


4y=8 Simplify.


y=%288%29%2F%284%29 Divide both sides by 4 to isolate y.


y=2 Reduce.


So the y-intercept is .


Notice that if we graph the equation x%2B4y=8, we can see that the graph has the x-intercept and the y-intercept


Graph of x%2B4y=8