Math Problem Statement
Find y if the slope of the line segment joining (3, 2) to (4, y) is -3.
Solution
To find , we use the formula for the slope of a line segment that passes through two points and :
Here, the points given are and . So,
The slope is given as . Substituting the values into the slope formula:
Simplify the denominator:
To solve for , add 2 to both sides:
So, the value of is .
Would you like more details or have any questions?
Here are some related questions:
- What is the formula for finding the slope between two points?
- How do you find the equation of a line given a point and the slope?
- How can you determine if two lines are parallel?
- What does a negative slope indicate about the direction of a line?
- How can you find the midpoint of a line segment joining two points?
Tip: When dealing with slope, always pay attention to the signs to determine the direction of the line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope Theorem
Suitable Grade Level
Grades 8-10
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