QuestionFind the linear function given and : .
Studdy Solution
STEP 1
Assumptions1. The function is linear, meaning it can be represented in the form , where is the slope and is the y-intercept. . We are given two points on the line represented by the function : and .
STEP 2
The slope of a line can be found using the formulawhere and are two points on the line.
STEP 3
Substitute the given points into the slope formula
STEP 4
implify the numerator and denominator separately
STEP 5
Calculate the slope
STEP 6
Now that we have the slope, we can find the y-intercept by rearranging the equation of the line to solve for
STEP 7
Substitute one of the given points and the calculated slope into the equation for . Let's use the point
STEP 8
Calculate the y-intercept
STEP 9
Now that we have the slope and the y-intercept , we can write the equation of the lineHowever, the solution provided in the problem statement is in the form , which is not equivalent to our solution. This suggests that there may be a mistake in the problem statement or our calculations.
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