Math Problem Statement
Find the slope of the line graphed below.
Solution
To find the slope of the line from the graph, we use the formula for slope:
This formula uses two points and on the line. From the graph, we can observe the following two points:
- The first point appears to be .
- The second point is around .
Using these coordinates:
So, the slope of the line is -1.
Would you like further clarification or details? Here are five follow-up questions related to this topic:
- How do we interpret a negative slope in terms of the graph's behavior?
- What are the steps for finding the slope if the points are not integer values?
- What is the meaning of a slope of 0 in a graph?
- How can you identify if two lines are parallel just by looking at their slopes?
- How does changing the slope affect the steepness of the line?
Tip: The slope of a line tells you how much the line rises or falls for every unit of horizontal movement.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 8-10