diff --git a/manim/mobject/graphing/number_line.py b/manim/mobject/graphing/number_line.py
index efb95ae399..bbe8c7ce7c 100644
--- a/manim/mobject/graphing/number_line.py
+++ b/manim/mobject/graphing/number_line.py
@@ -379,7 +379,7 @@ def number_to_point(self, number: float | np.ndarray) -> np.ndarray:
         scalar = number.ndim == 0
         number = self.scaling.inverse_function(number)
         alphas = (number - self.x_range[0]) / (self.x_range[1] - self.x_range[0])
-        alphas = float(alphas) if scalar else np.vstack(alphas)
+        alphas = float(alphas) if scalar else alphas.reshape(-1, 1)
         val = interpolate(self.get_start(), self.get_end(), alphas)
         return val
 
diff --git a/manim/mobject/graphing/scale.py b/manim/mobject/graphing/scale.py
index 78ffa2308b..f8ea79831c 100644
--- a/manim/mobject/graphing/scale.py
+++ b/manim/mobject/graphing/scale.py
@@ -6,7 +6,7 @@
 
 import numpy as np
 
-__all__ = ["LogBase", "LinearBase"]
+__all__ = ["LogBase", "LinearBase", "UnitLinearBase"]
 
 from manim.mobject.text.numbers import Integer
 
@@ -114,6 +114,32 @@ def inverse_function(self, value: float) -> float:
         return value / self.scale_factor
 
 
+class UnitLinearBase(LinearBase):
+    def __init__(self):
+        """The default scaling class."""
+        super().__init__(scale_factor=1.0)
+
+    def function(self, value: float) -> float:
+        """Multiplies the value by 1.0, i.e. returns the value as is.
+
+        Parameters
+        ----------
+        value
+            Value to be multiplied by the scale factor.
+        """
+        return value
+
+    def inverse_function(self, value: float) -> float:
+        """Inverse of function. Divides the value by 1.0, i.e. returns the value as is.
+
+        Parameters
+        ----------
+        value
+            value to be divided by the scale factor.
+        """
+        return value
+
+
 class LogBase(_ScaleBase):
     def __init__(self, base: float = 10, custom_labels: bool = True):
         """Scale for logarithmic graphs/functions.
diff --git a/tests/test_graphical_units/control_data/plot/get_lines_to_point.npz b/tests/test_graphical_units/control_data/plot/get_lines_to_point.npz
index ecc63af125..8fec243f13 100644
Binary files a/tests/test_graphical_units/control_data/plot/get_lines_to_point.npz and b/tests/test_graphical_units/control_data/plot/get_lines_to_point.npz differ