Subjects algebra

Line Point 1E45B9

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1. The problem states that the graph contains a line defined by the equation $y = 8x - 4$ and gives the point where $x = 0$ and $y = -4$ as an ordered pair $(0, -4)$. 2. We are asked to confirm the ordered pair for the point where $x = 0$ on the line. 3. The formula for the line is $y = 8x - 4$. 4. To find the $y$-coordinate when $x = 0$, substitute $0$ for $x$ in the equation: $$y = 8(0) - 4$$ 5. Simplify the expression: $$y = 0 - 4$$ $$y = -4$$ 6. Therefore, the ordered pair for the point where $x = 0$ is $(0, -4)$. This matches the given point, confirming it lies on the line $y = 8x - 4$.