Question

What is the slope of the line that connects the two ordered pairs (2,5) (7,3)

Answer 1

The slope is -2/5

Explanation:

(3-5) / (7-2)

Answer 2

Slope =
`(-2)/(5)`

Explanation:

Slope of Line:

Slope of line is defined as Rise over Run of a line. Rise means the Distance covered in y axis and run means distance covered in x axis.

So in mathematical form slope can be defined as

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

In our given ordered pairs

the first order pair is ( 2,5)

and second order pair is (7,3)

So from these ordered pairs

x1 =2

x2=7

y1=5

y2=3

So slope is given by the formula

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

Putting in the values

Slope =
`(3-5)/(7-2)`

Slope =
`(-2)/(5)`

So Slope of the given line is connecting these points is

Slope =
`(-2)/(5)`