Question

a line has a ( y )-intercept at ( (0, 4) ) and an ( x )-intercept at ( (6, 0) ). what is the slope of the line? (\frac{2}{3}) (\frac{3}{2}) (-\frac{3}{2}) (-\frac{2}{3})

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: Assign given points

Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(6,0)$.

Step3: Substitute into slope formula

$m=\frac{0-4}{6-0}=\frac{-4}{6}=-\frac{2}{3}$

Answer:

$-\frac{2}{3}$ (the fourth option)