standard_description: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
problem_activity: Translate the line segment formed by the endpoints
$${E(0, 2)}$$
$${F (1,-4)}$$
according to the rule
$${(x,y) \rightarrow (x+5, y+4)}$$
.
Find the endpoints of the translated image algebraically.
Verify the translation on the coordinate plane.
Show the translation vector on the coordinate plane.


aligns: no