Question

Help me please ?!!!!

Answer 1

Answer:

The slope of the line is -1

Step-by-step explanation:

Slope of a Line

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

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

From the table in the image, we select the points (1,4) (3,2). The slope is:

$\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1$

Now select two other points like (5,0) (7,-2)

$\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1$

Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1