Straight line equation easy question

Click For Summary
SUMMARY

The discussion centers on understanding the equation of a straight line, specifically the equation y = -2x + 2. The slope is calculated using the formula (y2 - y1) / (x2 - x1), which in this case yields a slope of -2. The constant term, +2, represents the y-intercept, indicating where the line crosses the y-axis. To derive a line with a different slope, such as +2, one must adjust the equation accordingly.

PREREQUISITES
  • Understanding of linear equations
  • Familiarity with slope calculation
  • Knowledge of y-intercept concepts
  • Basic algebra skills
NEXT STEPS
  • Study the slope-intercept form of linear equations (y = mx + b)
  • Learn how to graph linear equations using slope and y-intercept
  • Explore the relationship between slope and parallel/perpendicular lines
  • Practice deriving equations from given slopes and y-intercepts
USEFUL FOR

Students learning algebra, educators teaching linear equations, and anyone seeking to improve their understanding of graphing and interpreting straight lines.

sameh1
Messages
9
Reaction score
0
i have an easy question i Know how to calculate the slope but how I can get all the equation I know before that the equation is -2x+2 I know how to calculate the slope it
is y2-y1/x2-x1 but how can I get +2
I attach a file describing the question
 

Attachments

  • scan0084.jpg
    scan0084.jpg
    4.1 KB · Views: 413
Last edited:
Physics news on Phys.org
The constant is the same as the point where the line crosses the y-axis. So in this case you see it crosses at positive 2 so the constant will be +2.
 
your question is somewhat confusing...if you are asking how to get a slope = 2, you need a different line. the slope of a straight line is constant. y = -2x +2 is a straight line and you calculated the slope correctly, -2.

To find a line with slope = 2, use slope equation...y=mx+b.
 
It's not confusing if you look at the picture
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
3K
Replies
5
Views
953
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
4
Views
2K
Replies
3
Views
2K
Replies
17
Views
3K
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K