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The graph of a linear function is shown which word describes the slope of the line the choices and graph is below

The graph of a linear function is shown which word describes the slope of the line-example-1
User Kkemple
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2 Answers

2 votes
The graph is negative because it goes down to the right, meaning that it is decreasing. I hooe this helps!
User Stibu
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7.7k points
2 votes

Answer

negative

Explanation

Let's find the slope of our line using the slope formula:


m=(y_(2)-y_(1))/(x_(2)-x_(1))

where


m is the slope of the line


(x_(1),y_(1)) are the coordinates of the first point on the line


(x_(2),y_(2)) are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so
x_(1)=-2,
y_(1)=1,
x_(2)=2, and
y_(2)=-1. Let's replace the values in our formula to find
m:


m=(y_(2)-y_(1))/(x_(2)-x_(1))


m=(-1-1)/(2-(-2))


m=(-2)/(2+2)


m=(-2)/(4)


m=-(2)/(4)


m=-(1)/(2)

The slope of the graph of the linear function is
-(1)/(2); since
-(1)/(2) is a negative number, the slope of the graph is negative.

User Zeroimpl
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