Answer: m=-9/10; d=13.45
Step-by-step explanation:
To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.
[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]
Now, we know that slope is -9/10.
To find the distance between the points, we use the distance formula.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(-10)^2+(9)^2}[/tex] [exponent]
[tex]d=\sqrt{100+81}[/tex] [add]
[tex]d=\sqrt{181}[/tex]
[tex]d=13.45[/tex]
Now, we know the distance is approximately 13.45.
