Questions: Find the x and y intercepts for the graph of the equation. -2 x-2 y=-8

Transcript text: Find the x and y intercepts for the graph of the equation. \[ -2 x-2 y=-8 \]

Solution

Solution Steps

To find the x-intercept, set \( y = 0 \) in the equation and solve for \( x \). To find the y-intercept, set \( x = 0 \) in the equation and solve for \( y \).

Step 1: Finding the x-intercept

To find the x-intercept, we set \( y = 0 \) in the equation \( -2x - 2y = -8 \). Solving for \( x \) gives us: \[ -2x = -8 \implies x = 4 \] Thus, the x-intercept is \( (4, 0) \).

Step 2: Finding the y-intercept

To find the y-intercept, we set \( x = 0 \) in the equation \( -2x - 2y = -8 \). Solving for \( y \) gives us: \[ -2y = -8 \implies y = 4 \] Thus, the y-intercept is \( (0, 4) \).

Final Answer

The x-intercept is \( \boxed{(4, 0)} \) and the y-intercept is \( \boxed{(0, 4)} \).

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