If f is a linear function, with f(13) = 24 , and f(6) = 87 , find an equation for the function in slope-intercept form.

Question

If f is a linear function, with f(13) = 24 , and f(6) = 87 , find an equation for the function in slope-intercept form. 

 

f(x)=? 

Answer 1

Given Y= 24 when X = 13 and Y = 87 when X = 6

Let the equation be Y = mX + C 

 24 = m*13 +C 

and 87 = m* 6 +C 

 Give m = -9 and C = 141

Equation of st line is Y= -9X + 141