Calculate Slope Between Points (-6,1) and (2,4): Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Identify the coordinates of the given points.

• Step 2: Substitute these values into the slope formula.

• Step 3: Simplify to find the slope.

Now, let's work through each step:
Step 1: Given points are $(-6, 1)$ and $(2, 4)$. Thus, we have:
$x_1 = -6, y_1 = 1$, $x_2 = 2, y_2 = 4$.
Step 2: Apply the slope formula:
$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{2 - (-6)}$
Step 3: Simplify:
Calculate the numerator: $4 - 1 = 3$.
Calculate the denominator: $2 - (-6) = 2 + 6 = 8$.
Thus, the slope $m$ is:
$m = \frac{3}{8}$

Therefore, the solution to the problem is $\frac{3}{8}$.