SOLUTION: solve and graph x+3y=15

Algebra ->  Graphs -> SOLUTION: solve and graph x+3y=15      Log On


   

Question 758035: solve and graph x+3y=15
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%2B3y=15 Start with the given equation.


x%2B3%280%29=15 Plug in y=0.


x%2B0=15 Multiply 3 and 0 to get 0.


x=15 Simplify.


So the x-intercept is .


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


y-intercept


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


x%2B3y=15 Start with the given equation.


0%2B3y=15 Plug in x=0.


3y=15 Simplify.


y=%2815%29%2F%283%29 Divide both sides by 3 to isolate y.


y=5 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%2B3y=15.


Graph of x%2B3y=15