Question

graph this equation:
$x = 50$
click to select points on the graph.

Explanation:

Step1: Understand the equation type

The equation \( x = 50 \) is a vertical line. For any value of \( y \), \( x \) remains 50. So we need to find the vertical line where \( x = 50 \) on the coordinate plane.

Step2: Locate \( x = 50 \) on the x - axis

Looking at the x - axis of the given graph, we find the position where \( x = 50 \). Then, since the line is vertical, we can plot points like \( (50,0) \), \( (50,10) \), \( (50, - 10) \), etc. (any \( y \) - value with \( x = 50 \)) and draw a vertical line through these points.

To graph \( x = 50 \):

1. Find the point on the x - axis where \( x = 50 \) (between \( x = 40 \) and \( x = 60 \), closer to the middle of that interval in terms of the grid, as each major grid line is 20 units apart, and 50 is 10 units from 40 and 10 units from 60? Wait, no, looking at the x - axis labels: - 100, - 80, - 60, - 40, - 20, 0, 20, 40, 60, 80, 100. So the grid lines are at intervals of 20? Wait, no, the distance between 0 and 20 is one grid square? Wait, the x - axis has labels at - 100, - 80, - 60, - 40, - 20, 0, 20, 40, 60, 80, 100. So each "major" grid line (with a label) is 20 units apart. But the equation is \( x = 50 \), which is halfway between \( x = 40 \) and \( x = 60 \) (since 50 - 40 = 10 and 60 - 50 = 10). So we find the vertical line that passes through \( x = 50 \), regardless of the \( y \) - value. So we can select points like \( (50,0) \), \( (50,50) \), \( (50, - 50) \) etc. and draw a vertical line through them.

Answer:

To graph \( x = 50 \), draw a vertical line that passes through the point \( (50,y) \) for any real number \( y \). On the given grid, locate \( x = 50 \) (halfway between \( x = 40 \) and \( x = 60 \) on the x - axis) and draw a vertical line through this \( x \) - value, extending from the bottom to the top of the graph (or through the visible portion of the grid). Some sample points to plot are \( (50,0) \), \( (50,100) \), \( (50, - 100) \) (or any \( y \) - values within the range of the graph) and connect them with a straight vertical line.