SOLUTION: -x+5y=10 use the intercepts to graph the equation

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Question 363121: -x+5y=10 use the intercepts to graph the equation
Found 2 solutions by Fombitz, jim_thompson5910:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

To find the x-intercept, set y=0 and solve for x.
-x%2B5y=10
-x%2B0=10
x=-10
(-10,0)
.
.
.
To find the y-intercept, set x=0 and solve for y.
-x%2B5y=10
0%2B5y=10
y=2
(0,2)
.
.
.
Plot the points, then connect them with a line.
.
.
.

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%2B5y=10 Start with the given equation.


-x%2B5%280%29=10 Plug in y=0.


-x%2B0=10 Multiply 5 and 0 to get 0.


-x=10 Simplify.


x=%2810%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-10 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


-x%2B5y=10 Start with the given equation.


-0%2B5y=10 Plug in x=0.


5y=10 Simplify.


y=%2810%29%2F%285%29 Divide both sides by 5 to isolate y.


y=2 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%2B5y=10.


Graph of -x%2B5y=10