Question 5 (Multiple Choice Worth 4 points)



(05.01)

What is the slope of the line shown in the graph?

A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line.


−2


−1


−1 over 2


1 over 2

Verified Answer :

(-2,2) (0,1)
slope = y1-y2/x1-x2 .... 2-1/-2-0 = -1/2 the answer is C

Answer:  \(\dfrac{-1}{2}\) or -1 over 2.

Step-by-step explanation:

The slope of a line passing through points (a,b) and (c,d) is given by :-

\(m=\dfrac{d-b}{c-a}\)

From the given graph , the line is passing from points (-2,2) and (0,1).

Now, the of a line passing through points (-2,2) and (0,1) is given by :-

\(m=\dfrac{1-2}{0-(-2)}\\\\\Rightarrow\ m=\dfrac{-1}{2}\)

Hence, the slope of the line = \(\dfrac{-1}{2}\)