Math Problem Statement
solve this
Solution
The gradient (or slope) of a straight line can be calculated using the formula:
From the image, we can identify two points on the line:
- Point 1:
- Point 2:
Now, apply these coordinates to the formula:
Thus, the gradient of the straight line is 1.
Would you like more details, or do you have any questions?
Here are 5 related questions to deepen your understanding:
- What does the gradient of a line represent in terms of its steepness?
- How does the gradient of a horizontal or vertical line differ?
- What is the general equation of a line, and how is the gradient used in it?
- How would the gradient change if the line were steeper or flatter?
- Can you calculate the gradient from any two points on the line?
Tip: The gradient tells you how much the line rises or falls for each unit it moves horizontally.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Linear Equations
Formulas
Gradient formula: (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 7-9
Related Recommendation
Finding the Gradient of a Line on a Graph
Find the Gradient of the Line Segment Connecting (1,6) and (-3,2)
Find the Gradient of a Line Through Points (6, 2) and (10, -2)
How to Calculate the Gradient of a Line: Example from Coordinate Geometry
Find the Gradient of a Line from a Graph - Example with Coordinates