Line d passes through points (48, 87) and (49, 88). Line e is parallel to line d. What is the slope of line e?

Question

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of line \( d \) that passes through the points \((48, 87)\) and \((49, 88)\), we can use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, let \((x_1, y_1) = (48, 87)\) and \((x_2, y_2) = (49, 88)\). Plugging in these values, we have:

\[ m = \frac{88 - 87}{49 - 48} = \frac{1}{1} = 1 \]

Thus, the slope of line \( d \) is \( 1 \).

Because line \( e \) is parallel to line \( d \), it will have the same slope. Therefore, the slope of line \( e \) is also:

\[ \boxed{1} \]