Graph the Line Segment (2,-5) , (4,-6)

Problem

(2,−5),(4,−6)

Solution

1. Identify the two given points on the Cartesian plane as ((x_1),(y_1))=(2,−5) and ((x_2),(y_2))=(4,−6)

2. Plot the first point by starting at the origin, moving 2 units to the right along the x-axis, and 5 units down along the y-axis.

3. Plot the second point by starting at the origin, moving 4 units to the right along the x-axis, and 6 units down along the y-axis.

4. Connect the two points with a straight line segment to represent all values between the endpoints.

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

slope=((y_2)−(y_1))/((x_2)−(x_1))

slope=(−6−(−5))/(4−2)

slope=−1/2

Final Answer

The graph is a line segment starting at (2,−5) and ending at (4,−6) with a slope of −1/2

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