Geometry study guide that I can't finish I am stuck on a few questions!!!

Question

#1) Triangle ABC has been rotated 90* to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC, is perpendicular to  .

picture is:

"Triangles ABC and DEF are shown. A is at (4, 2). B is at (4, 5). C is at (1, 2). D is at (2,- 4). E is at (5,- 4). F is at (2,-1). Line BC and line EF intersect at point (0, 1).

#2)

A point on a segment with endpoints X (1,-2) and Y (10,3) partitions the segment in a 5:1 ratio. Find M

Answer 1

The slope of BC is 1, slope of EF is -1,,,,know line1 perpendicular to line2 if m2=-1/m1

y intercept is given as 1, BC is on y=x+1. EF is on y=-x+1

(5/6)*9=45/6,,,45/6+1=51/6 is x coordinate of M

(5/6)*5=25/6,,,,25/6-2=13/6 is y coordinate of M

look at XY as hypotenuse and if hypotenuse is 5/6, then legs (x and y lengths) are 5/6