The graph of x=-10 will be a:a.Straight line parallel to x-axis.b.Straight line parallel to y-axis.c.Straight line in XY planed.Curve in XY plane.

To determine the nature of the graph represented by the equation $x = -10$, let's break down the options:

1. Understanding the Equation: The equation $x = -10$ represents all points where the x-coordinate is fixed at -10, regardless of the y-coordinate. This means any point of the form $(-10, y)$ where $y$ can be any real number.

2. Graph Characteristics:

   • Since $x$ is constant and equal to -10, the graph itself does not change with varying $y$. Therefore, the graph cannot curve or change direction since it remains at a fixed x-coordinate.

3. Possible Descriptions:

   • Option a (Straight line parallel to x-axis): This is incorrect because a line parallel to the x-axis would have a fixed $y$-value, not a fixed $x$-value.
   • Option b (Straight line parallel to y-axis): This is correct because the line represented by $x = -10$ will indeed be vertical, running up and down along the line where $x$ is always -10.
   • Option c (Straight line in XY plane): While it is a straight line in the XY plane, the description is too vague without indicating its orientation.
   • Option d (Curve in XY plane): This is incorrect as the graph does not curve; it is a straight line.

Conclusion

The correct answer is b. Straight line parallel to y-axis.