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Which graph best represents the solution to

1/4x−6=−4




(1 point)
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1 answer

To solve the equation \( \frac{1}{4}x - 6 = -4 \), we can follow these steps:

  1. Add 6 to both sides: \[ \frac{1}{4}x - 6 + 6 = -4 + 6 \] Simplifying this gives: \[ \frac{1}{4}x = 2 \]

  2. Multiply both sides by 4 to solve for \( x \): \[ 4 \cdot \frac{1}{4}x = 4 \cdot 2 \] Simplifying this gives: \[ x = 8 \]

Thus, the solution to the equation is \( x = 8 \).

To determine which graph represents this solution, look for a graph that has an x-intercept at \( x = 8 \).

If you provide additional options or characteristics of the graphs, I can help you identify the correct one. Otherwise, the graph should cross the x-axis at \( (8, 0) \).