Question

What is the slope of this graph? A:−4 B:4 C:14 D: −14

Answer 1

The slope is -4. maybe a brainliest would be nice thx

Answer 2

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:

$P1=(x_1, y_2)\\P2=(x_2,y_2)$

two points on a line, not parallel to the y-axis; the slope m is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

As we can see from the graph, we can extract two points, which are:

$P1=(x_1,y_1)=(-1,6)\\P2=(x_2,y_2)=(2,-6)$

Therefore, the slope of this graph is:

$m=\frac{-6-6}{2-(-1)} =\frac{-12}{3} =-4$