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scoundrel [369]
3 years ago
6

Find the slope of the line between (1,5)and (3,9)

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0
I believe the slope is 2
Volgvan3 years ago
4 0
We can use the points in either order and you will still get the same slope. I usually solve in order that is given. So the first coordinates I label (x1,y1) and the second is (x2,y2).

Slope=m=(y2-y1)/(x2-x1)
m=(9-5)/(3-1)=4/2=2

Slope is 2.
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To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(4-(-8))^2+(3-(-2))^2}}\\\\ \mathsf{d=\sqrt{(4+8)^2+(3+2)^2}}\\\\ \mathsf{d=\sqrt{(12)^2+(5)^2}}\\\\ \mathsf{d=\sqrt{144+25}}\\\\ \mathsf{d=\sqrt{169}}\\\\ \underline{\mathsf{d=13}}


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