What is the slope of the line represented by the equation y−1=

Question

2
3
​
(x−6.5)?

−
3
2
​


2
3
​


−6.5

1

Answer 1

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:

\[ \frac{2}{3} \]