Question

A line in the Cartesian plane passes through the points (5,8) and (9,15). What is the slope of the line?

Answer 1

Use the formula m=y2-y1/x2-x1 to find the slope of any line.

m=slope or rise over run

y2 and x1= the y and x values of a point.

(x,y)=point

We substitute the values in and we simplify

15-8/9-5=m

7/4=m

This number is an improper fraction meaning we can convert it to a whole mixed number.

7/4= 1 3/4= 1.75 (decimal form of whole mixed)

So our final result is 7/4 or 1 3/4

Hope this helps!

Answer 2

Answer:
`(7)/(4)`

Explanation:

The slope of a line passing through two points A(a,b) and B(c,d) is given by:_

`m=(d-b)/(c-a)`

Then , the slope of the line passing through the points (5,8) and (9,15) will be :_

`m=(15-8)/(9-5)\\\\\Rightarrow\ m=(7)/(4)`

Hence, the slope of the line passing through the points (5,8) and (9,15)=
`(7)/(4)`