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The graph of x+y=6 intersect coordinate ...

The graph of `x+y=6` intersect coordinate axesat

A

(0, 6)

B

(6, 0)

C

(2, 3)

D

Both (A) and (B)

Text Solution

AI Generated Solution

The correct Answer is:
To find the points where the graph of the equation \(x + y = 6\) intersects the coordinate axes, we can follow these steps: ### Step 1: Find the x-intercept To find the x-intercept, we set \(y = 0\) in the equation \(x + y = 6\). \[ x + 0 = 6 \] \[ x = 6 \] So, the x-intercept is at the point \((6, 0)\). ### Step 2: Find the y-intercept To find the y-intercept, we set \(x = 0\) in the equation \(x + y = 6\). \[ 0 + y = 6 \] \[ y = 6 \] So, the y-intercept is at the point \((0, 6)\). ### Step 3: Conclusion The graph of the equation \(x + y = 6\) intersects the coordinate axes at the points \((6, 0)\) and \((0, 6)\). ### Final Answer The points of intersection are \((6, 0)\) and \((0, 6)\). ---
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