Answer:
A:−4
Step-by-step explanation:
In mathematics the slope is defined as the inclination of an ideal, natural or constructive element with respect to the horizontal.
The slope of a line is the tangent of the angle between the line and the positive direction of the abscissa axis.
Let:
[tex]P1=(x_1, y_2)\\P2=(x_2,y_2)[/tex]
two points on a line, not parallel to the y-axis; the slope m is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
As we can see from the graph, we can extract two points, which are:
[tex]P1=(x_1,y_1)=(-1,6)\\P2=(x_2,y_2)=(2,-6)[/tex]
Therefore, the slope of this graph is:
[tex]m=\frac{-6-6}{2-(-1)} =\frac{-12}{3} =-4[/tex]
