#10 please help me solve this

Given:

Line

To find:

Slope of the perpendicular line and slope of the parallel line.

Solution:

Equation of a given line:

Subtract 8x on both sides, we get

Divide by -6 on both sides.

Slope of this line is .

If two lines are perpendicular then their slopes are negative inverse of one another.

Slope of perpendicular line =

If two lines are parallel, then their slopes are equal.

Slope of perpendicular line =

-3/4; 4/3

Step-by-step explanation:

8x - 6y = -4

6y = 8x + 4

y = (8/6)x + (4/6)

y = (4/3)x + (2/3)

Perpendicular: m1 × m2 = -1

Slope: -3/4

Parallel lines: m1 = m2

Slope: 4/3

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.