SOLUTION: Use the intercepts to graph the equation x+2y=4.
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Question 146776: Use the intercepts to graph the equation x+2y=4.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Let's find the x-intercept
To find the x-intercept, let y=0 and solve for x:
Plug in
Simplify
Divide both sides by 1
Reduce
So the x-intercept is
(note: the x-intercept will always have a y-coordinate equal to zero)
------------------
Start with the given equation
Now let's find the y-intercept
To find the y-intercept, let x=0 and solve for y:
Plug in
Simplify
Divide both sides by 2
Reduce
So the y-intercept is
(note: the y-intercept will always have a x-coordinate equal to zero)
------------------------------------------
So we have these intercepts:
x-intercept:
y-intercept:
Now plot the two points
and
Now draw a line through the two points to graph
graph of through the points
and
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