SOLUTION: Graph the linear equation 2x+4y=16 also find its x and y intercepts

Question 333721: Graph the linear equation
2x+4y=16
also find its x and y intercepts
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

x-intercept

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

Start with the given equation.

Plug in .

Multiply and 0 to get 0.

Simplify.

Divide both sides by to isolate .

Reduce.

So the x-intercept is

.

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

y-intercept

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

Start with the given equation.

Plug in .

Multiply and 0 to get 0.

Simplify.

Divide both sides by to isolate .

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 .

Graph of

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