Graph the Line Segment (1,3)-(3,4)

Problem

Graph the line segment from *(1,3)* to *(3,4)

Solution

1. Identify the endpoints of the line segment as ((x_1),(y_1))=(1,3) and ((x_2),(y_2))=(3,4)

2. Plot the first point by moving 1 unit to the right of the origin along the x-axis and 3 units up along the y-axis.

3. Plot the second point by moving 3 units to the right of the origin along the x-axis and 4 units up along the y-axis.

4. Connect the points with a straight line segment, ensuring the line does not extend beyond these two specific coordinates.

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

m=((y_2)−(y_1))/((x_2)−(x_1))

m=(4−3)/(3−1)

m=1/2

Final Answer

The graph is a line segment starting at (1,3) and ending at (3,4) with a slope of m=1/2

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