Question

Find the slope of the line that passes through the points (2 , 0) and (2 , 4).

Answer 1

$\text {Slope = } \dfrac{Y_2-Y_1}{X_2-X_1}$

$\text {Slope = } \dfrac{4-0}{2-2} = \dfrac{4}{0} = \infty$

The graph is a vertical line , x = 2

Answer 2

The slope of the line passing through the given points (2, 0) and (2, 4) is ∞ (undefined).

Given the following data:

• Points on the x-axis = (2, 2)

• Points on the y-axis = (0, 4)

To find the slope of the line passing through the given points (2, 0) and (2, 4):

The slope of a straight line.

Mathematically, the slope of a line is given by the following formula;

$Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the points into the formula, we have;

$Slope, \;m = \frac{4 - 0}{2 - 2}\\\\Slope, \;m = \frac{4}{0}$

Slope, m  = ∞ (undefined).

Note: A mathematical expression is considered to be undefined when its denominator is zero (0).

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