Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
( ,
)
( ,
)
is m =
Slopes of perpendicular lines are opposite reciprocal:
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
=
=
Slope of perpendicular line through points (3, 5) and (k, 12) is =
or =
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>