Question

Examine the following table of points which are all on a certain line.

x= -2,0,1,3.

y=4,2,1,-1.

what is the slope of this line?

Answer 1

The slope of the line passing through the given points is -1.

How to find the slope

To find the slope of the line that passes through the given points, you can use the formula for slope, which is:

Slope (m) = (Change in y) / (Change in x)

You have two points on the line: ( - 2 , 4) and (3 , - 1 ).

Change in y = ( - 1 ) - 4

= - 5

Change in x = 3 - (-2)

= 3 + 2

= 5

Now, you can calculate the slope:

Slope (m) = (-5) / 5

= - 1