Question

find the slope of the line that passes through (19, 18) and (88, 78). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1 = 19 \), \( y_1 = 18 \), \( x_2 = 88 \), \( y_2 = 78 \).

Step3: Substitute into formula

\( m=\frac{78 - 18}{88 - 19}=\frac{60}{69} \).

Step4: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, which is 3. So, \( \frac{60\div3}{69\div3}=\frac{20}{23} \).

Answer:

\(\frac{20}{23}\)