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

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

Q: 12         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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G Gautam harsolia

Given that  A line passes through  (x_1,y_1)  and  (h,k)  and slope of the line is m
Now,
m = \frac{y_2-y_1}{x_2-x_1}
\Rightarrow m = \frac{k-y_1}{h-x_1}
\Rightarrow (k-y_1)= m(h-x_1)
Hence proved

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