Find the slope of the line passing through the points $$ (-4,-4) $$ and $$ (2,5) $$.

Question

UpStudy AI · Accepted Answer

**Step 1: Identify the coordinates of the points.**  
The coordinates are  
$$
(x_1, y_1) = (-4, -4) \quad \text{and} \quad (x_2, y_2) = (2, 5)
$$

**Step 2: Use the formula for the slope of a line.**  
The slope $$ m $$ is given by  
$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

**Step 3: Substitute the coordinates into the formula.**  
$$
m = \frac{5 - (-4)}{2 - (-4)}
$$

**Step 4: Simplify the expression.**  
First, simplify the numerator and the denominator:  
$$
m = \frac{5 + 4}{2 + 4} = \frac{9}{6}
$$

**Step 5: Reduce the fraction if possible.**  
$$
m = \frac{9}{6} = \frac{3}{2}
$$

**Final Answer:**  
The slope of the line is  
$$
\frac{3}{2}
$$
The slope of the line is $$ \frac{3}{2} $$.

Find the slope of the line passing through the points and .