Question
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Find a linear function , given and . Then find .

(Type an expression using as the variable. Simplify your answer.)

Ask by Hamilton Montgomery. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

and .

Solution

To find the linear function that satisfies the given points and , follow these steps:
  1. Determine the slope :
    The slope can be calculated using the formula:
    Plugging in the given points and :
  2. Find the y-intercept :
    Use one of the points to solve for . Let’s use :
  3. Write the linear function:
    Now that we have both and , the function is:
  4. Find :
    Substitute into the function:
Final Answer:

Reviewed and approved by the UpStudy tutoring team

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Explain
Simplify this solution

Bonus Knowledge

To find the linear function , we can use the two points given: and . The slope of the line is calculated as follows:
Now, we use the point-slope form for the equation of a line, . We can use the point :
Simplifying this gives:
Now, to find :
So, the function is:
And

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