Math Problem Statement
What is the slope of this line?
Solution
To find the slope of the given line, we use the formula for the slope:
By observing the graph, we can choose two points that the line passes through clearly:
- The line passes through the point .
- The line passes through the point .
Now, we will calculate the slope using these two points:
Thus, the slope of the line is .
Would you like more details on this, or do you have any questions?
Here are 5 related questions for further exploration:
- What is the significance of a positive slope compared to a negative slope?
- How would the graph change if the slope were ?
- Can you identify any other points on the line and confirm the slope calculation?
- What would the equation of this line be in slope-intercept form?
- How would you find the slope if the line were vertical or horizontal?
Tip: When identifying points on a line for calculating slope, it's best to use points where the line crosses exactly through the grid lines for more accuracy.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Concept of slope
Suitable Grade Level
Grades 7-9