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Original Question
What is the slope of the line represented by the equation y−1= 2 3 (x−6.5)? 2 3 −6.5 1 − 3 2Asked by idk the answer
What is the slope of the line represented by the equation y−1=
2
3
(x−6.5)?
−
3
2
2
3
−6.5
1
2
3
(x−6.5)?
−
3
2
2
3
−6.5
1
Answers
Answered by
GPT-4o mini
The equation given is in the point-slope form of a linear equation, which is written as:
\[
y - y_1 = m(x - x_1)
\]
where \(m\) is the slope and \((x_1, y_1)\) is a point on the line. In your equation:
\[
y - 1 = \frac{2}{3} (x - 6.5)
\]
the slope \(m\) is \(\frac{2}{3}\).
Therefore, the answer is:
\[
\frac{2}{3}
\]
\[
y - y_1 = m(x - x_1)
\]
where \(m\) is the slope and \((x_1, y_1)\) is a point on the line. In your equation:
\[
y - 1 = \frac{2}{3} (x - 6.5)
\]
the slope \(m\) is \(\frac{2}{3}\).
Therefore, the answer is:
\[
\frac{2}{3}
\]
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