SOLUTION: Find the x- and y-intercepts for the equation. Then graph the equation. -5x - 10y = 10

Algebra ->  Graphs -> SOLUTION: Find the x- and y-intercepts for the equation. Then graph the equation. -5x - 10y = 10      Log On


   

Question 166501: Find the x- and y-intercepts for the equation. Then graph the equation.
-5x - 10y = 10
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


-5x+-+10y+=+10 Start with the given equation.


-5x+-+10%280%29+=+10 Plug in y=0.


-5x+-+0+=+10 Multiply 10 and 0 to get 0.


-5x+-+0+=+10 Simplify.


-5x=10%2B0 Add 0 to both sides.


-5x=10 Combine like terms on the right side.


x=%2810%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=-2 Reduce.


So the x-intercept is .


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


y-intercept


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


-5x+-+10y+=+10 Start with the given equation.


-5%280%29+-+10y+=+10 Plug in x=0.


-0+-+10y+=+10 Multiply -5 and 0 to get 0.


+-+10y+=+10 Simplify.


y=%2810%29%2F%28-10%29 Divide both sides by -10 to isolate y.


y=-1 Reduce.


So the y-intercept is .




Now plot the two points and




Now draw a line through the two points to graph -5%2Ax-10%2Ay=10
graph of -5%2Ax-10%2Ay=10 through the points and