Through the given point and perpendicular to the given equation write your answer in slope intercept form1) ( -4 , 2) and 6x - y = 12) ( -3 , -5) and y = - x + 33) ( 1 , 4 ) and y = 1/2 x + 4

Step-by-step explanation:

A simple, mechanical way to do these (perpendicular lines) is ...

1) (x+4) +6(y -2) = 0 . . . .after step 3 above

... x -8 = -6y . . . . . . . . . . eliminate parentheses, add the opposite of the y-term

... y = (-1/6)x +4/3 . . . . . divide by the y-coefficient

2) (y+5) = (x +3)

... y = x -2 . . . . . . . . . . . . . add -5

3) (1/2)(y -4) = -(x -1)

... 1/2y -2 = -x +1 . . . . . . . eliminate parentheses

... 1/2y = -x +3 . . . . . . . . . add 2

... y = -2x +6 . . . . . . . . . . . multiply by 2

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Comment on the graph(s)

The attached graphs show the original lines and points (1: red, 2: blue, 3: green). The original line is dashed, and the perpendicular line through the point is shown solid. This confirms the results above.

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.

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.