Linear function

Calculus Level 1

Given a linear function f ,if:- f ( x 2 ) − f ( x 1 ) x 2 − x 1 = 5 \frac{f(x_2)-f(x_1)}{x_2-x_1}=5 Where ( x 1 , x 2 ) € R (x_1,x_2)€R Find out the slope of graph of function f


The answer is 5.

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Aman Sharma by Aman Sharma , 25, India

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2 solutions

Brett Hartley
Aug 30, 2014

you appear to have had a formatting error but it is still understandable so: f ( x 1 ) = m x 1 + c f(x_{1})=mx_{1}+c , f ( x 2 ) = m x 1 + c f(x_{2})=mx_{1}+c therefore f ( x 2 ) − f ( x 1 ) = m ( x 2 − x 1 ) f(x_{2})-f(x_{1})=m(x_{2}-x_{1}) so the fraction is m ( x 2 − x 1 ) x 2 − x 1 \frac{m(x_{2}-x_{1})}{x_{2}-x_{1}} which when cancelling x 2 − x 1 x_{2}-x_{1} gives m \boxed{m} on the left hand side and as the right hand side has not been touched, m = 5 \boxed{m=5}

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I am aware of that but problem is that i don't know how to write 1 and 2 in the foot of x without using slash and brackets

Aman Sharma - 6 years, 9 months ago

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well you appear to have fixed it so that no longer matters

Brett Hartley - 6 years, 9 months ago

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I think its not nessesary to mention that domain of linear function is real

Aman Sharma - 6 years, 9 months ago

this is my first problem in this chapter so cooooooooooooooool

S rohith - 6 years, 7 months ago
Aman Gautam
Sep 10, 2014

the mean value theorem : http://www.sosmath.com/calculus/diff/der11/der11.html

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