Question

find the slope of the line that passes through (79, 63) and (34, 90). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 79,y_1=63,x_2 = 34,y_2 = 90$.

Step2: Substitute values

$m=\frac{90 - 63}{34 - 79}=\frac{27}{- 45}$.

Step3: Simplify the fraction

Divide both numerator and denominator by 9. $\frac{27\div9}{-45\div9}=-\frac{3}{5}$.

Answer:

$-\frac{3}{5}$