SOLUTION: 10. Point A is the origin. Find the coordinates of the two points that are 5 units distant from A, and have x-coordinates of +3. (Hint: Make a sketch. The two points fall on the

Click here to see ALL problems on Linear Algebra

Question 762518: 10. Point A is the origin. Find the coordinates of the two points that are 5 units distant from A, and have x-coordinates of +3. (Hint: Make a sketch. The two points fall on the line x=5, and therefore have coordinates (5,y) where y is unknown. Use the distance formula, suitably rearranged.)Problems 11 through 13: Find the slope of the line, given points A and B on the line.
11. A(4, 6) and B(-2, -2) Answer: . Show all the solution steps in detail, using the example as a model.

12. A(3, -4) and B(5, 4)
13. A(-3,2) and B(6,0)

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Your points cannot both have -coordinates of 3 and also be on the line . By definition, all points on the line have -coordinates of 5.

Re-post, stating your problem with correct parameters. Follow the rules for posting, e.g. one problem per post, and show the work you have done or describe what you have tried. Do not make the corrections in a note back to me. I may not be available to answer the question. Re-post on the website.

As for the other three problems, most of the solution is simply arithmetic, so you aren't going to get "solution steps in detail" since I don't do arithmetic for people as a general rule. To find the slope given two points, use the slope formula:

where and are the coordinates of the given points.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it