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Mathematics Question on Slope of a line

A line passes through (x1, y1) and (h, k). If slope of the line is m, show that k-y1=m(h-x1)

Answer

The slope of the line passing through (x1,y1) and (h, k) is k−y1h−x1\frac{k-y_1}{h-x_1}
It is given that the slope of the line is m.
∴ k−y1h−x1=m∴\,\frac{k-y_1}{h-x_1}=m
⇒k−y1=m(h−x1)⇒k-y_1=m(h-x_1)
Hence, k−y1=m(h−x1)k-y_1=m(h-x_1)