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