Math Problem Statement
What is the slope of the line?
Solution
To find the slope of the line in the graph, we can use the formula for the slope between two points on the line:
From the image, we can identify two points where the line crosses grid intersections:
- Point 1:
- Point 2:
Now, apply the slope formula:
So, the slope of the line is .
Would you like more details or have any questions? Here are five related questions:
- How does the slope change if the line were steeper or shallower?
- What would the slope be if the line were horizontal?
- How do you find the y-intercept of the line given the slope?
- How would the equation of the line look in slope-intercept form?
- How can you find the equation of a line if you know the slope and one point?
Tip: A negative slope means that the line is decreasing from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Linear Equations
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 7-9