Graph the Line Segment (0,3)-(-3,4)

Problem

Graph the line segment from *(0,3)* to *(−3,4)

Solution

1. Identify the endpoints of the line segment as the Cartesian coordinates ((x_1),(y_1))=(0,3) and ((x_2),(y_2))=(−3,4)

2. Plot the first point (0,3) on the yaxis, which is 3 units above the origin.

3. Plot the second point (−3,4) by moving 3 units to the left of the yaxis and 4 units up from the xaxis.

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

5. Determine the slope to ensure accuracy, using the formula m=((y_2)−(y_1))/((x_2)−(x_1))

m=(4−3)/(−3−0)

m=−1/3

6. Write the equation of the line containing the segment using the slope-intercept form y=m*x+b where b is the yintercept (0,3)

y=−1/3*x+3

Final Answer

Line segment from *(0,3)* to *(−3,4)* defined by *y=−1/3*x+3* for −3≤x≤0

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