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Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.

User Ralokt
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1 Answer

5 votes

Answer: m=-9/10; d=13.45

Explanation:

To find the slope, you would use the formula
m=(y_2-y_1)/(x_2-x_1). We plug in the given points and solve.


m=(9-0)/(0-10) =(9)/(-10) =-(9)/(10)

Now, we know that slope is -9/10.

To find the distance between the points, we use the distance formula.

Distance formula:
d=√((x_2-x_1)^2+(y_2-y_1)^2)


d=√((0-10)^2+(9-0)^2) [parenthesis]


d=√((-10)^2+(9)^2) [exponent]


d=√(100+81) [add]


d=√(181)


d=13.45

Now, we know the distance is approximately 13.45.

User Paul Brannan
by
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