Question

Indicate the equation of the given line in standard form.

The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).

Answer 1

first find the slope given the two points. use the formula:\[m=(y _{2}-y _{1})/(x _{2}-x _{1})\]

since the it asked for the perpendicular equation of the line, use the inverse of the slope. .

then, then find the midpoint using the two points.
(x1 , y1) , (x2 , y2)

use the formula. .
\[x=1/2(x _{2}-x _{1}) \]

\[y=1/2(y _{2}-y _{1})\]

given the midpoint (x,y) and the slope in you can find the equation of the line using slope intercepr form, then transform to standard form. .