Problem

Part 1 of 2
$K$
Using the given equation,
(a) find the intercepts of its graph and
(b) use the intercepts to graph the equation.
\[
4 x+2 y=8
\]
(a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The intercept(s) is/are $\square$.
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no intercepts.

Answer

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Answer

\(\boxed{\text{The intercept(s) is/are }(2,0) \text{ and }(0,4)}\)

Steps

Step 1 :To find the intercepts of the graph of the equation, we need to find the x-intercept and the y-intercept.

Step 2 :The x-intercept is the point where the graph crosses the x-axis. At this point, y = 0.

Step 3 :The y-intercept is the point where the graph crosses the y-axis. At this point, x = 0.

Step 4 :So, we need to solve the equation for y = 0 to find the x-intercept and for x = 0 to find the y-intercept.

Step 5 :The x-intercept is 2 and the y-intercept is 4. This means the graph of the equation crosses the x-axis at the point (2,0) and the y-axis at the point (0,4).

Step 6 :\(\boxed{\text{The intercept(s) is/are }(2,0) \text{ and }(0,4)}\)

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