Question

find the slope and the y-intercept of the line with the following equation.
$y = \frac{5}{6}x - 6$

find the slope of the line. select the correct choice below and, if necessary, fill in the answer box.

a. the slope is \square
(type an integer or a simplified fraction.)

b. the slope is undefined.

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Match given equation to form

Compare $y = \frac{5}{6}x - 6$ with $y = mx + b$. Here, $m = \frac{5}{6}$ and $b = -6$.

Step3: Identify slope value

The slope $m$ is the coefficient of $x$.

Answer:

A. The slope is $\frac{5}{6}$
The y-intercept is $-6$