Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the equation to answer the questions below. y = \\frac{-1}{2}x - 2 …

Question

use the equation to answer the questions below.
y = \frac{-1}{2}x - 2
what is the y - intercept?
(there is a box for input, a button doesnt exist, and some operation buttons like trash, fraction, parentheses, etc. then another question: what is the slope? with a box for input. skill code: 313003)

Explanation:

Response
For the y - intercept:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept (the value of $y$ when $x = 0$).

Step2: Identify $b$ in the given equation

The given equation is $y=\frac{- 1}{2}x-2$. Comparing it with $y = mx + b$, we can see that $b=-2$. So the y - intercept is $-2$.

For the slope:

Step1: Recall slope - intercept form

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

Step2: Identify $m$ in the given equation

The given equation is $y=\frac{-1}{2}x - 2$. Comparing it with $y=mx + b$, we can see that $m = \frac{-1}{2}$. So the slope is $\frac{-1}{2}$.

Answer:

(y - intercept):
$-2$