Math Problem Statement
Solution
To find the formula for the linear function given that and , we can use the information provided to determine the slope and then find the equation in slope-intercept form.
Step 1: Find the slope
The slope of a line through two points and is calculated as: Using the points and :
Step 2: Use the slope and one point to find the y-intercept
The slope-intercept form of the equation is: Using the slope and the point :
Final equation:
The equation of the linear function is:
Would you like any further details or explanations on this?
Here are 5 related questions for further practice:
- What is the slope of the line that passes through the points and ?
- How do you interpret the slope of a line in a real-world context?
- Can you find the equation of a line parallel to that passes through the point ?
- What is the y-intercept of the line ?
- How would the graph of change if the slope were negative?
Tip: Always double-check your calculations, especially when finding the slope, to ensure the accuracy of your linear equations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Slope-intercept form: y = mx + b
Theorems
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Suitable Grade Level
Grades 8-10
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