Questions: Use your knowledge of x - and y-intercepts to choose the correct graph of the equation. 2x + 2y = 10

Use your knowledge of x - and y-intercepts to choose the correct graph of the equation. 2x + 2y = 10
Transcript text: Use your knowledge of $x$ - and $y$-intercepts to choose the correct graph of the equation. \[ 2 x+2 y=10 \]
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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.

2x + 2(0) = 10 2x = 10 x = 5

The x-intercept is (5, 0).

Step 2: Find the y-intercept

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

2(0) + 2y = 10 2y = 10 y = 5

The y-intercept is (0, 5).

Step 3: Identify the correct graph

The correct graph should pass through the points (5, 0) and (0, 5). Graph 'b' is the only graph that passes through these two points.

Final Answer: The final answer is $\boxed{b}$

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