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Find the slope of the line containing the points and .
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1
Identify the coordinates of the two points given: Point 1 is \(\left(-1, 1\right)\) and Point 2 is \(\left(4, 3\right)\).
Recall the formula for the slope \(m\) of a line passing through two points \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\):
\[m = \frac{y_2 - y_1}{x_2 - x_1}\]
Substitute the coordinates of the points into the slope formula:
\[m = \frac{3 - 1}{4 - (-1)}\]
Simplify the numerator and denominator separately:
Numerator: \(3 - 1\)
Denominator: \(4 - (-1)\) which is \(4 + 1\)
Write the simplified fraction for the slope and reduce it to its simplest form if possible.