Finding the Equation of a Line with Given Slope and Y-Intercept

  • Context: MHB 
  • Thread starter Thread starter mathdad
  • Start date Start date
Click For Summary

Discussion Overview

The discussion centers around finding the equation of a line given a specific slope and y-intercept, specifically focusing on the line defined by a slope of 14 and a y-intercept of 0. The conversation includes verification of the equation and its properties.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant presents the equation of the line as y = 14x, derived from the slope-intercept form of a line.
  • Another participant confirms the correctness of the equation presented.
  • A question is raised about whether the line y = 14x passes through the origin.
  • Further clarification is provided that all lines of the form y = mx pass through the origin, with a specific example given for when x = 0.
  • One participant expresses appreciation for the information shared, indicating its usefulness for their notes.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the equation y = 14x and its property of passing through the origin, although the discussion includes questions and clarifications rather than a formal consensus.

Contextual Notes

The discussion does not address potential limitations or assumptions regarding the context of the problem or the definitions used.

Who May Find This Useful

This discussion may be useful for individuals interested in understanding the properties of linear equations and their graphical representations, particularly in the context of slope and y-intercept.

mathdad
Messages
1,280
Reaction score
0
Given slope = 14; y-intercept is 0, find the equation of the line.

Solution:

y = mx + b

y = 14x + 0

y = 14x

The equation of the line is y = 14x.

Correct?
 
Mathematics news on Phys.org
Of course it is!
 
Does the line y = 14x go through the origin?
 
RTCNTC said:
Does the line y = 14x go through the origin?

All lines of the form $y=mx$ go through the origin...for any $x=a$, the point $(a,ma)$ is on the line...what point do we get if $a=0$?
 
Good information for my notes.
 

Similar threads

MHB What is the equation of a line with a slope of 0 and a y-intercept of 14?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Slope Intercept Equation with parallel
  • · Replies 2 ·
Replies
2
Views
1K
MHB What is the equation of a line passing through (6, -3) with a y-intercept of 8?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Finding the Equation of a Line Given Two Points
  • · Replies 2 ·
Replies
2
Views
1K
MHB How can I find the equation of a line given its x-intercept and y-intercept?
  • · Replies 10 ·
Replies
10
Views
3K
MHB Finding the Equation of a Circle Given Specific Conditions
  • · Replies 4 ·
Replies
4
Views
2K
MHB How do I find an equation of the line with a given x-intercept and point?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Why use point-slope form for linear equations?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How Do You Calculate the Slope of a Line with Given Coordinates and Area?
  • · Replies 2 ·
Replies
2
Views
2K
MHB [ASK] A Line Intercepting A Circle
  • · Replies 4 ·
Replies
4
Views
1K