Question

the graph has points (4, 35) and (16, 134). the options are: \\(\frac{134 - 35}{16 - 4}\\), \\(\frac{134 - 16}{35 - 4}\\), \\(\frac{4 - 16}{35 - 134}\\), \\(\frac{4 - 16}{134 - 35}\\)

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Identify given points

The points are $(4,35)$ and $(16,134)$, so $x_1=4,y_1=35,x_2=16,y_2=134$.

Step3: Substitute into slope formula

Substitute values: $m=\frac{134-35}{16-4}$.

Answer:

$\boldsymbol{\frac{134-35}{16-4}}$ (the first option)