Slope of Line Intersecting (2,2) & (6,7)

  • Context: MHB 
  • Thread starter Thread starter suluclac
  • Start date Start date
  • Tags Tags
    Line Slope
Click For Summary
SUMMARY

The slope of a line intersecting the points (2, 2) and (6, 7) is calculated using the formula (y2 - y1) / (x2 - x1). Substituting the coordinates, the slope is (7 - 2) / (6 - 2), which simplifies to 5 / 4. Therefore, the definitive slope of the line is 1.25.

PREREQUISITES
  • Understanding of basic algebra concepts
  • Familiarity with coordinate geometry
  • Knowledge of slope calculation formulas
  • Ability to interpret Cartesian coordinates
NEXT STEPS
  • Study the concept of slope in various contexts
  • Learn about linear equations and their graphs
  • Explore the relationship between slope and intercepts
  • Investigate applications of slope in real-world scenarios
USEFUL FOR

Students learning algebra, educators teaching coordinate geometry, and anyone interested in understanding linear relationships in mathematics.

suluclac
Messages
40
Reaction score
0
If a line intersects both points (2, 2) and (6, 7), determine its slope.
 
Physics news on Phys.org
With the possibility that some school students come in this forum and expect us to spoon feed the answers, here it is. Besides, one of the rules of this forum is that we need to show some effort! So here is my effort!
y = ax + b
a = dy/dx = (7 - 2)/(6 - 2) = 5/4
 

Similar threads

High School How to Find the Intersection of a Logarithmic Curve and a Tangent Line?
  • · Replies 14 ·
Replies
14
Views
2K
High School Why does the Limit Process give an Exact Slope?
  • · Replies 53 ·
2
Replies
53
Views
6K
MHB -apc.4.1.2 Find the slope at x=4
  • · Replies 7 ·
Replies
7
Views
2K
MHB Is the Slope of the Line Passing Through the Given Points Equal to 2x + h?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Finding Intersection Points Between Circle & Line
  • · Replies 4 ·
Replies
4
Views
2K
MHB S8.4.2.48 find int given 2 areas
  • · Replies 2 ·
Replies
2
Views
1K
MHB -gre.ge.04 intersection of parabola and line
  • · Replies 5 ·
Replies
5
Views
2K
MHB Can you find the slope of a line passing through two points with this formula?
  • · Replies 2 ·
Replies
2
Views
1K
MHB How to Calculate the Slope of a Line Through Two Points?
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Can I Find the Equation of the Dotted Tangent Line of a Circle?
  • · Replies 5 ·
Replies
5
Views
2K