Questions: Use your knowledge of x - and y-intercepts to choose the correct graph of the equation. 6x+3y=6 Enter the appropriate letter for the graph.

Use your knowledge of x - and y-intercepts to choose the correct graph of the equation. 6x+3y=6 Enter the appropriate letter for the graph.
Transcript text: Use your knowledge of $x$ - and $y$-intercepts to choose the correct graph of the equation. \[ 6 x+3 y=6 \] Enter the appropriate letter for the graph. $\square$
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Solution

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Solution Steps

Step 1: Find the x-intercept

To find the x-intercept, set y = 0 and solve for x:

6x + 3(0) = 6 6x = 6 x = 1

The x-intercept is (1, 0).

Step 2: Find the y-intercept

To find the y-intercept, set x = 0 and solve for y:

6(0) + 3y = 6 3y = 6 y = 2

The y-intercept is (0, 2).

Step 3: Identify the correct graph

The correct graph should have an x-intercept at (1, 0) and a y-intercept at (0, 2). Graph 'c' is the only graph that satisfies these conditions.

Final Answer

c

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