Answered

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6x+2y=8 and 3y=6x+9 find the slopes and tell whether or not the lines are parallel

Sagot :

Answer:

The lines are not parallel

Step-by-step explanation:

Parallel lines have the same slope

To find the slope of each line, we must find two ordered pairs that belong on each line. (x,y)

6x + 2y = 8

Two ordered pairs (1,1) and (0,4)

                               x1y1        x2y2

Slope = y2-y1/x2-x1

Slope = 4-1/0-1 = 3/-1 = -3

3y = 6x+9

Two ordered pairs (1,15) and (3,27)

                               x1y1        x2y2

Slope = y2-y1/x2-x1

Slope = 27-15/3-1 = 12/2 = 6

[tex]6\neq -3[/tex], so these lines are not parallel

Hope this helps :)

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