The points in the table lie on a line. Find the slope of the line.
x:-2,4,10
y:1,-6,-13

The slope of the line is -7/6.

Step-by-step explanation:

From the table shown, it can be determined that the given points (x,y) are (-2,1) , (4,-6) and (10,-13).

To find the slope :

The slope formula is used.

Slope = (y2 - y1) / (x2 - x1)

Take any two points from the given points in the table.

Let,

(x1,y1) be (-2,1) and (x2,y2) be (10,-13)

Substituting the values of x1= -2, y1= 1, x2= 10, y2= -13 in the slope formula,

Slope = (y2 - y1) / (x2 - x1)

⇒ (-13 - 1) / (10 + 2)

⇒ -14 / 12

⇒ -7/6

Therefore, the slope can be found in the similar way by using any of the two points that lies on the line. The slope of the line is -7/6.