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

Question

2
3
​
(x−6.5)?

2
3
​


−6.5

1

−
3
2
​

Answer 1

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 \( \frac{2}{3} \).