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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

$k-y_1=m(h-x_1)$.

Views

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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