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

Respuesta :

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

Answer:  [tex]\dfrac{-1}{2}[/tex] or -1 over 2.

Step-by-step explanation:

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

[tex]m=\dfrac{d-b}{c-a}[/tex]

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 :-

[tex]m=\dfrac{1-2}{0-(-2)}\\\\\Rightarrow\ m=\dfrac{-1}{2}[/tex]

Hence, the slope of the line = [tex]\dfrac{-1}{2}[/tex]