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

Step-by-step explanation:

To find the slope, you would use the formula $m=\frac{y_2-y_1}{x_2-x_1}$. We plug in the given points and solve.

$m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}$

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

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

Distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(0-10)^2+(9-0)^2}$             [parenthesis]

$d=\sqrt{(-10)^2+(9)^2}$                       [exponent]

$d=\sqrt{100+81}$                               [add]

$d=\sqrt{181}$

$d=13.45$

Now, we know the distance is approximately 13.45.