Graphing Linear Equations: Finding Intercepts

  • Context: High School 
  • Thread starter Thread starter Poweranimals
  • Start date Start date
  • Tags Tags
    Graphing
Click For Summary

Discussion Overview

The discussion revolves around the methods for graphing the linear equation y = 3x - 2, focusing on finding intercepts and understanding the slope. It includes various approaches to graphing linear equations, emphasizing both conceptual and procedural aspects.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant suggests finding the y-intercept by setting x to zero and using the slope to graph the line.
  • Another participant proposes that since it is a linear equation, any two points can be used to graph it by connecting them with a straight line.
  • A different participant outlines a method to find both the y-intercept and x-intercept, providing calculations for each and noting the positive gradient of the line.

Areas of Agreement / Disagreement

Participants present multiple methods for graphing the equation, indicating a lack of consensus on a single approach. Various strategies are discussed without resolving which is the most effective.

Contextual Notes

Some participants rely on specific definitions of intercepts and slopes, and there may be assumptions about the audience's familiarity with graphing techniques that are not explicitly stated.

Who May Find This Useful

This discussion may be useful for individuals learning about graphing linear equations, particularly those interested in different methods for finding intercepts and understanding slope.

Poweranimals
Messages
68
Reaction score
0
How would I go about graphic this?

y = 3x - 2
 
Mathematics news on Phys.org
As you alluded to in the subject of your post, a good way to graph the equation is to find the y intercept; and graph from there knowing the slope is 3. So set x to zero and determine the y intercept that way, then simply use the slope's ratio (3/1) and remember "rise over run".
 
Or you can realize it is a linear equation and just take any two points, graph them, and connect them with a straight line.
 
all you do is find the two intercepts and join them together...
remember that to find...
y-intercept, let x = 0 and
x-intercept, let y = 0...

so y-intercept = y = 3(0) - 2
y-int = -2
therefore ... (0,-2)

and x-intercept = 0 = 3x-2
3x = 2
x = (2/3)

(2/3,0)

so then you put a dot on those points and draw a line.
the line should be increasing since you know that the gradient is positive.
 

Similar threads

High School Just for fun: Cubic Graph Plot
  • · Replies 1 ·
Replies
1
Views
2K
MHB Slope Intercept Equation with parallel
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Adding 'z' to 2D graph equation
  • · Replies 3 ·
Replies
3
Views
2K
High School Can 2x/3x Equal 2/3x Squared on a Graphing Calculator?
  • · Replies 3 ·
Replies
3
Views
1K
High School Graph of lines going through the origin
  • · Replies 7 ·
Replies
7
Views
3K
High School Solving the Heart Curve Equation: 'y =
  • · Replies 18 ·
Replies
18
Views
5K
High School Pre-Calc. Question: Graphing Rational Functions
  • · Replies 12 ·
Replies
12
Views
2K
MHB 7.t.27 write eq for a sinusiol graph
  • · Replies 2 ·
Replies
2
Views
1K
MHB [ASK] A Line Intercepting A Circle
  • · Replies 4 ·
Replies
4
Views
2K
MHB Why I Get X & Y Mixed Up When Plotting Graphs
  • · Replies 3 ·
Replies
3
Views
2K