Question

identificar las cosas indicatas y escribe la regla.
slope
y-intercept
equation

Explanation:

Step1: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ with points $(-6,0)$ and $(0,-4)$:
$m=\frac{-4-0}{0-(-6)}=\frac{-4}{6}=-\frac{2}{3}$

Step2: Identify y-intercept

The y-intercept is the point where $x=0$, which is $(0,-4)$, so $b=-4$.

Step3: Write linear equation

Use slope-intercept form $y=mx+b$:
$y=-\frac{2}{3}x-4$

Answer:

Slope: $-\frac{2}{3}$
Y-intercept: $(0, -4)$
equation: $y=-\frac{2}{3}x-4$