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A line passes through (x1,y1)and (h , k...

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)`.

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To prove that \( k - y_1 = m(h - x_1) \), we will start by using the formula for the slope of a line that passes through two points. ### Step-by-Step Solution: 1. **Identify the Points and Slope**: We have two points: \( (x_1, y_1) \) and \( (h, k) \). The slope \( m \) of the line passing through these points is given by the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} ...
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