Find the slope of the line containing the points $(-1,1)$ and $(4,3)$.

• A. $m=\frac{5}{2}$
• B. $m=\frac{2}{5}$
• C. $m=2$
• D. $m=\frac{4}{3}$

Answer: (B)

Verified step by step guidance

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