SOLUTION: solve and graph the following equation: -x-5y=-8

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Question 175650: solve and graph the following equation:
-x-5y=-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-x-5y=-8 Start with the given equation.


-5y=-8%2Bx Add x to both sides.


-5y=x-8 Rearrange the terms.


y=%28x-8%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=%28%281%29%2F%28-5%29%29x%2B%28-8%29%2F%28-5%29 Break up the fraction.


y=-%281%2F5%29x%2B8%2F5 Reduce.





In order to graph this equation, we only need two points to create a straight line




--------------------------------Let's find the first point--------------------------------

y=-%281%2F5%29x%2B8%2F5 Start with the given equation


y=-%281%2F5%29%283%29%2B8%2F5 Plug in x=3


y=-3%2F5%2B8%2F5 Multiply -1%2F5 and 3 to get -3%2F5


y=5%2F5 Add


y=1 Reduce



So when x=3, we have the value y=1. This means we have the first point




--------------------------------Let's find the second point--------------------------------

y=-%281%2F5%29x%2B8%2F5 Start with the given equation


y=-%281%2F5%29%288%29%2B8%2F5 Plug in x=8


y=-8%2F5%2B8%2F5 Multiply -1%2F5 and 8 to get -8%2F5


y=0%2F5 Add


y=0 Reduce



So when x=8, we have the value y=0. This means we have the second point




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So we have the two points: and


Now plot these two points on a coordinate system





Now draw a straight line through the two points. This line is the graph of y=-%281%2F5%29x%2B8%2F5

Graph of y=-%281%2F5%29x%2B8%2F5 through the two points and