Question

find the slope of the line that passes through (7, 4) and (9, 7). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, \((x_1, y_1)=(7, 4)\) and \((x_2, y_2)=(9, 7)\).

Step2: Substitute values into formula

Substitute \( x_1 = 7 \), \( y_1 = 4 \), \( x_2 = 9 \), and \( y_2 = 7 \) into the formula: \( m=\frac{7 - 4}{9 - 7} \).

Step3: Simplify the expression

Calculate the numerator and denominator: \( 7 - 4 = 3 \) and \( 9 - 7 = 2 \). So, \( m=\frac{3}{2} \).

Answer:

\(\frac{3}{2}\)