Question

find the slope of the line that passes through (98, 7) and (63, 84). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(98, 7) \) and \( (x_2, y_2)=(63, 84) \).

Step2: Substitute the values into the formula

Substitute \( x_1 = 98,y_1 = 7,x_2=63,y_2 = 84 \) into the slope formula:
\( m=\frac{84 - 7}{63 - 98}=\frac{77}{- 35} \)

Step3: Simplify the fraction

Simplify \( \frac{77}{-35} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 7.
\( \frac{77\div7}{- 35\div7}=\frac{11}{-5}=-\frac{11}{5} \)

Answer:

\(-\frac{11}{5}\)