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d. Write an equation whose graph is parallel to the graph in part c. Tell how yo

ID: 3117581 • Letter: D

Question

d. Write an equation whose graph is parallel to the graph in part c. Tell how you know they are parallel (5 pts) e. Write an equation of a line perpendicular to the graph in part c. Tell how you know they are perpendicular. (5 pts) 3. The graphs of each group of equations have at least one characteristic in common. Name the characteristicís) and then graph each group of equations on the same axes to verify your answer. (25) b. ys2x, y-2x+1, y-2x-3 d.2y-6x, 4y-12x 0, 3x-y-0 e. 2x-4y-12, 3y+2x-2, xy-0

Explanation / Answer

Answer 3:
a) y=x, y=2x and y=3x all pass through the origin (0,0)

b) y= 2x; y=2x+1; y=2x-3 all have the same slope of = 2;

c) y=x/3; y=2x/5 and y=3x/4 all pass through the same point , origin (0,0)

d) 2y = 6x; 4y = 12x and 3x-y=0;
2y=6x means y= 6/2 x = 3x
4y= 12x means y= 12/4x =3x
3x-y=0 means y= 3x; Thus,, all these are the same line y=3x;

e) 2x-4y= 12; x+y=0 and 3y+2x=-2 all pass through the point (2,-2)