Math Problem Statement
Find the slope of the line graphed below.
Solution
To find the slope of the line in the graph, we use the formula for slope:
From the image, I can identify two points on the line:
- Point 1:
- Point 2:
Now, using these coordinates in the slope formula:
So, the slope of the line is .
Would you like more details or have any questions? Here are 5 related questions you might find helpful:
- How does the slope of a line affect its steepness?
- What does a positive slope signify about the direction of a line?
- Can a line have a slope of zero? What would that look like?
- What happens when the slope is negative?
- How do we find the equation of a line once we know its slope and a point?
Tip: The slope of a line tells you how much the -coordinate changes for every unit change in the -coordinate!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Slope Calculation
Formulas
Slope = (y2 - y1) / (x2 - x1)
Theorems
Slope formula in coordinate geometry
Suitable Grade Level
Grades 6-8