SOLUTION: I am seeking instruction on the following : To solve and graph this equation..... -2x + 4y = 16 , and then graph it. Thank you . This is actually for my daughter ,and she has becom

Algebra ->  Graphs -> SOLUTION: I am seeking instruction on the following : To solve and graph this equation..... -2x + 4y = 16 , and then graph it. Thank you . This is actually for my daughter ,and she has becom      Log On


   

Question 777987: I am seeking instruction on the following : To solve and graph this equation..... -2x + 4y = 16 , and then graph it. Thank you . This is actually for my daughter ,and she has become frustrated as I am unable to help her over the phone . This looks like a tremendous service , much needed for my daughter now that she started Honors Algebra 2 !! Respectfully , Alan Sharkany
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%2B4y=16 Start with the given equation.


-2x%2B4%280%29=16 Plug in y=0.


-2x%2B0=16 Multiply 4 and 0 to get 0.


-2x=16 Simplify.


x=%2816%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-8 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


-2x%2B4y=16 Start with the given equation.


-2%280%29%2B4y=16 Plug in x=0.


-0%2B4y=16 Multiply -2 and 0 to get 0.


4y=16 Simplify.


y=%2816%29%2F%284%29 Divide both sides by 4 to isolate y.


y=4 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%2B4y=16.


Graph of -2x%2B4y=16