Math Problem Statement
solve for both equations
Solution
Here are the equations of the two lines based on the given points:
-
Line 1 (through points and ):
- Slope (): 1.33
- Intercept (): -3
-
Line 2 (through points and ):
- Slope (): 0.6
- Intercept (): -4.4
Would you like more details or have any questions?
Here are five related questions:
- How do you find the slope of a line from two points?
- How can you verify if a point lies on a line equation?
- What is the difference between slope-intercept and point-slope form?
- How do parallel lines relate in terms of their slopes?
- What is the geometric interpretation of the y-intercept?
Tip: The slope of a line represents the rate of change of y with respect to x, or the steepness of the line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Equation of a line: y = mx + b
Theorems
Two-point form of a line
Slope-Intercept form
Suitable Grade Level
Grades 8-10
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