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The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?
X
/
VE
y=
Submit
y-axis
10-
5
-10
-5
0
5
10
x-axis
-5
the points are at 4,4 and 4,2

1 answer

To find the equation of the linear function represented by the given points (4, 4) and (4, 2), we first identify the key characteristics of the line based on these points.

  1. Identify the type of line: The points (4, 4) and (4, 2) have the same x-coordinate (4). This indicates that the line is vertical.

  2. Equation of a vertical line: The equation of a vertical line is given by \( x = a \), where \( a \) is the x-coordinate of any point on that line.

Since the points (4, 4) and (4, 2) both have an x-coordinate of 4, the equation of the line is:

\[ x = 4 \]

If you have additional points on the graph or characterizing features, feel free to share them for more context!