Math Problem Statement
find the missing coordinates given the slope (2,x) and (0,8) m=-2
Solution
We are given two points, and , with a slope . The slope formula between two points and is:
Substituting the values from the points and :
Simplify:
Multiply both sides by 2 to eliminate the denominator:
Now, solve for :
Thus, the missing coordinate is , and the point is .
Would you like further details or have any questions?
Here are 5 related questions:
- How is the slope formula derived?
- What happens when the slope is zero?
- How can we find the distance between two points given their coordinates?
- How do you calculate the equation of a line given a point and the slope?
- What if the slope was undefined?
Tip: Always double-check your substitution values when using formulas to avoid small errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope formula
Suitable Grade Level
Grades 8-10
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