Question
Question
Which graph best represents the solution to
1/4x−6=−414x−6=−4
(1 point)
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Which graph best represents the solution to
1/4x−6=−414x−6=−4
(1 point)
Responses
Skip to navigation
Answers
GPT-4o mini
To solve the equation \( \frac{1}{4}x - 6 = -4 \), we can first isolate \( x \).
1. Add 6 to both sides of the equation:
\[
\frac{1}{4}x - 6 + 6 = -4 + 6
\]
\[
\frac{1}{4}x = 2
\]
2. Next, multiply both sides by 4 to solve for \( x \):
\[
x = 2 \times 4
\]
\[
x = 8
\]
Now, to represent this solution graphically, we need to identify the appropriate representation. The solution \( x = 8 \) indicates a vertical line on the graph at \( x = 8 \).
If you've been provided with multiple graph options, the correct choice would be the graph that features a vertical line at \( x = 8 \).
Without seeing the specific graph options provided, I cannot determine which one matches exactly, but look for the description of a vertical line crossing the x-axis at the point \( 8 \).
1. Add 6 to both sides of the equation:
\[
\frac{1}{4}x - 6 + 6 = -4 + 6
\]
\[
\frac{1}{4}x = 2
\]
2. Next, multiply both sides by 4 to solve for \( x \):
\[
x = 2 \times 4
\]
\[
x = 8
\]
Now, to represent this solution graphically, we need to identify the appropriate representation. The solution \( x = 8 \) indicates a vertical line on the graph at \( x = 8 \).
If you've been provided with multiple graph options, the correct choice would be the graph that features a vertical line at \( x = 8 \).
Without seeing the specific graph options provided, I cannot determine which one matches exactly, but look for the description of a vertical line crossing the x-axis at the point \( 8 \).