Question

A.What is the slope of the graph? B.Write an equation for the line.

Answer 1

Answer:

Part A) The slope is  $m=-\frac{1}{2}$

Part B) The equation of the line is $y=-\frac{1}{2}x-1$

Step-by-step explanation:

Part A) What is the slope of the graph?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Looking at the graph it takes any two points

(-2,0) and (0,-1)

substitute the values in the formula

$m=\frac{-1-0}{0+2}$

$m=\frac{-1}{2}$

$m=-\frac{1}{2}$

Part B) Write an equation for the line

we know that

The equation of the line in slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$m=-\frac{1}{2}$

$b=-1$ ----> the y-intercept is the point (0,-1)

substitute

$y=-\frac{1}{2}x-1$