Question

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.

Answer 1

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.