Line l contains the points A(2, 2) and B(3,6). Line k contains the points C(0,5) and D(1,9). Are lines land k parallel? Justify your response.

Yes, line L and line K are parallel because the slopes are equal.

Step-by-step explanation:

From the question given:

Line L contains point A(2, 2) and B(3, 6)

Line K contains point C(0, 5) and D(1, 9)

To know if the lines are parallel, we need to determine the slope of each line.

The slope of each line can be obtained as follow:

1. Determination of the slope of line L.

Line L contains point A(2, 2) and B(3, 6)

x1 coordinate = 2

x2 coordinate = 3

y1 coordinate = 2

y2 coordinate = 6

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 6 - 2 / 3 - 2

Slope = 4/1

Slope = 4

Therefore, the slope of line L is 4.

2. Determination of the slope of line K.

Line K contains point C(0, 5) and D(1, 9)

x1 coordinate = 0

x2 coordinate = 1

y1 coordinate = 5

y2 coordinate = 9

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 9 - 5 / 1 - 0

Slope = 4/1

Slope = 4

Therefore, the slope of line K is 4.

Summary

Line >>>>>>>>>>> Slope

L >>>>>>>>>>>>> 4

K >>>>>>>>>>>>> 4

From the above calculations, we can see that line L and line K has the same slope.

Therefore, line L and line K are parallel.

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step-by-step explanation:

answer: h

step-by-step explanation: