Question

simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1),(x_2,y_2)$

Step2: Substitute given points

Use $(0,-1)$ and $(-6,-6)$:
$m = \frac{-6 - (-1)}{-6 - 0}$

Step3: Simplify numerator and denominator

$m = \frac{-6 + 1}{-6} = \frac{-5}{-6}$

Step4: Simplify the fraction

$m = \frac{5}{6}$

Step5: Write line equation (slope-intercept)

Use $y=mx+b$, $m=\frac{5}{6}$, $b=-1$:
$y = \frac{5}{6}x - 1$

Answer:

The slope of the line is $\frac{5}{6}$, and the equation of the line is $y = \frac{5}{6}x - 1$