Math Problem Statement
what is the slope of the line
What is the slope of the line?
Solution
To find the slope of the line from the given graph, I'll need to identify two points on the line and then calculate the slope using the formula:
Let's extract the coordinates of two visible points from the graph:
- First point:
- Second point:
Now, applying the slope formula:
Thus, the slope of the line is .
Would you like more details or have any questions?
Here are some related questions to expand on this:
- How can the slope be interpreted in real-life situations?
- What happens to the graph if the slope becomes negative?
- How can we graph a line if only the slope and one point are given?
- How does changing the slope affect the steepness of the line?
- Can we find the equation of this line using its slope and one point?
Tip: When identifying points on a line, always choose those that lie directly on grid intersections for accuracy.
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope of a line between two points
Suitable Grade Level
Grades 7-9