Question

Write an equation of a line that passes through the point (2, 4) and whose slope is ½.

Answer 1

The eq of line in slope point form is give as
\[y-y_{1}=m(x-x_{1}) \rightarrow y-4=\frac{1}{2}(x-x_{1}) \]
Multiplying both sides by 2 we find
\[2y-8=x-2 \rightarrow 2y= x+6 \rightarrow -x+2y=6 \rightarrow x-2y=-6 \]
Which is the required eq of line.