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Graph the Line Segment (10,-3)-(3,5)

Problem

(10,−3)* to *(3,5)

Solution

  1. Identify the two given endpoints of the line segment, which are ((x_1),(y_1))=(10,−3) and ((x_2),(y_2))=(3,5)

  2. Plot the first point (10,−3) by moving 10 units to the right along the x-axis and 3 units down along the y-axis.

  3. Plot the second point (3,5) by moving 3 units to the right along the x-axis and 5 units up along the y-axis.

  4. Connect the two points with a straight line segment using a ruler or straightedge.

  5. Determine the slope of the segment to ensure accuracy.

m=((y_2)−(y_1))/((x_2)−(x_1))

m=(5−(−3))/(3−10)

m=−8/7

Final Answer

To graph the line segment, plot the points (10,−3) and (3,5) on a Cartesian plane and draw a straight line connecting them.


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