What is the slope of a line parallel to the line whose equation is 2x+y=32x+y=3. Fully simplify your answer. What is the slope of a line perpendicular to the line whose equation is x+2y=14x+2y=14. Fully simplify your answer.

The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD:DE:EFCD:DE:EF is equal to 3:2:1.3:2:1. If CF=42,CF=42, find DF. DF.

What are the coordinates of the point on the directed line segment from (-7, 10)(−7,10) to (-2, -5)(−2,−5) that partitions the segment into a ratio of 2 to 3?

Find the perimeter of a triangle with vertices at (1,1), (1,4), and (6,4). Round to the nearest 10th degree.