Answer: The x-coordinate is 2, and the y-coordinate is -5.
Explanation:
To graph the line passing through the point (2,-5) with a slope of 1/2, we can follow these steps:
1. Plot the given point (2,-5) on the coordinate plane. The x-coordinate is 2, and the y-coordinate is -5. Mark this point on the graph.
2. Use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 1/2, we can substitute this value into the equation to get y = (1/2)x + b.
3. To find the y-intercept (b), we can substitute the coordinates of the given point (2,-5) into the equation. We have -5 = (1/2)(2) + b. Simplify this equation to find the value of b.
-5 = 1 + b
b = -5 - 1
b = -6
4. Now we have the equation y = (1/2)x - 6. This equation represents the line passing through the point (2,-5) with a slope of 1/2.
5. Plot additional points on the graph using different x-values. For example, when x = 0, we can find the corresponding y-value using the equation y = (1/2)(0) - 6. This gives us y = -6. Mark the point (0,-6) on the graph.
6. Connect the plotted points with a straight line. The line passes through the given point (2,-5) and has a slope of 1/2.
7. Label the line as necessary to indicate the equation of the line.
By following these steps, you can graph the line passing through the point (2,-5) with a slope of 1/2.