A line passes through `(x_1,y_1)`and `(h , k)`. If slope of the line is m, show that `k-y_1=m(h-x_1)`.

Explanation

To show that \( k - y_1 = m(h - x_1) \), we will use the definition of the slope of a line passing through two points.

### Step-by-Step Solution:

1. **Identify the Points**: We have two points on the line: \( A(x_1, y_1) \) and \( B(h, k) \).

2. **Understand the Slope Formula**: The slope \( m \) of the line passing through points \( A \) and \( B \) is given by the formula:
\[
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