Question
Find a linear function
, given
and
. Then find
.
(Type an expression using
as the variable. Simplify your answer.)
(Type an expression using
Ask by Hamilton Montgomery. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Solution
To find the linear function
that satisfies the given points
and
, follow these steps:
-
Determine the slope
: The slopecan be calculated using the formula: Plugging in the given pointsand : -
Find the y-intercept
: Use one of the points to solve for. Let’s use : -
Write the linear function:Now that we have both
and , the function is: -
Find
: Substituteinto the function:
Final Answer:
Reviewed and approved by the UpStudy tutoring team
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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