42.0k views
3 votes
The points (9,9) and (10,k) fall on a line with a slope of -1. What is the value of k?

User Mahindar
by
6.8k points

1 Answer

6 votes

The value of k is 8

Solution:

Given that, points (9, 9) and (10, k) fall on a line with a slope of -1

To find: value of "k"

The slope of a line with points
(x_1, y_1) and
(x_2, y_2) is given as:


m=(y_(2)-y_(1))/(x_(2)-x_(1))

Here given that,

slope = m = -1


(x_1, y_1) = (9, 9)\\\\(x_2, y_2) = (10, k)

Substitute the values in formula, and solve to get value of k


m = (k-9)/(10-9)\\\\-1 = (k-9)/(10-9)\\\\-1 = (k-9)/(1)\\\\k-9 = -1\\\\k = -1+9\\\\k = 8

Thus the value of k is 8

User Soroush Khosravi
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories