Question

1. what is the slope of $overline{ec}$?

$a(a, b)$
$c(c, d)$
$e(e, 0)$
$\frac{c + e}{d}$
$\frac{c - e}{d}$
$\frac{d}{c - e}$
$d$

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

For the line segment $\overline{EC}$, the two points are $E(e,0)$ and $C(c,d)$. Here, $x_1 = e,y_1 = 0,x_2=c,y_2 = d$.

Step3: Calculate the slope

Substitute the values into the slope - formula: $m=\frac{d - 0}{c - e}=\frac{d}{c - e}$.

Answer:

$\frac{d}{c - e}$