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

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theawsomepro theawsomepro · Answer 1 · 2018-11-16T22:40:42+01:00

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!

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JeanaShupp JeanaShupp · Answer 2 · 2019-08-23T16:07:45+02:00

Answer: [tex]\dfrac{7}{4}[/tex]

Step-by-step explanation:

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

[tex]m=\dfrac{d-b}{c-a}[/tex]

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

[tex]m=\dfrac{15-8}{9-5}\\\\\Rightarrow\ m=\dfrac{7}{4}[/tex]

Hence, the slope of the line passing through the points (5,8) and (9,15)= [tex]\dfrac{7}{4}[/tex]

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