Find the slope of a line parallel to the which passes through each pair of the following points:
(0, 0) and (5, 6)

Answer

To find the slope of a line parallel to the line that passes through the points (0, 0) and (5, 6), we can follow these steps:

### Step 1: Identify the points
We have two points:
- Point 1: (0, 0)
- Point 2: (5, 6)

### Step 2: Use the slope formula
The formula for the slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

### Step 3: Assign values to the formula
Assign the coordinates of the points to the formula:
- Let \( (x_1, y_1) = (0, 0) \)
- Let \( (x_2, y_2) = (5, 6) \)

### Step 4: Substitute the values into the slope formula
Substituting the values into the slope formula:
\[ m = \frac{6 - 0}{5 - 0} \]

### Step 5: Simplify the expression
Now simplify the expression:
\[ m = \frac{6}{5} \]

### Step 6: State the slope of the parallel line
Since parallel lines have equal slopes, the slope of the line parallel to the one passing through the points (0, 0) and (5, 6) is also:
\[ m = \frac{6}{5} \]

### Final Answer
The slope of the line parallel to the one that passes through the points (0, 0) and (5, 6) is \( \frac{6}{5} \).

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