A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Line w is parallel to line x and perpendicular to line y. Line y passes through the orgin and intersects line w at the point (10, 10). Line x has an xintercept of 5. Find the equations of all three lines. Explain your reasoning
anonymous
 5 years ago
Line w is parallel to line x and perpendicular to line y. Line y passes through the orgin and intersects line w at the point (10, 10). Line x has an xintercept of 5. Find the equations of all three lines. Explain your reasoning

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, you have 2 points that are on line y. So you can use those two points to find the slope. And with the slope and one of the points you can get the equation for line y using the point slope formula.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Once you have the slope of line y you have the slope of line x because x is perpendicular to y. Therefore the slopes are negative reciprocals of each other. Knowing the slope of x and the x intercept of x, you have a point and a slope, and again can find the equation by plugging into point slope.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And once you have the slope of x you have the slope of w because they are parallel and have the same slope. You also have a point on w (10,10) which is where it intersects the line y. Therefore you can find the equation of w with point slope.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Mkay, so how do I put those to points into an equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So you just need 2 formulas, the formula for the slope of a line using 2 points on the line is: \[Slope =\frac{y_2y_1}{x_2x_1}\] And point slope formula for a line is \[yy_1 = m(xx_1)\] Where \(x_1, y_1\) are the x and y values for a point on the line and m is the slope.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Popak can you help me when you're done here please? sorry to interrupt

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't worry I understand
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.