Question 1120800

 

if {{{s(x)}}} is the slope of the line through the points ({{{0}}},{{{0}}}) and ({{{x}}},{{{f(x)}}}), we have:

{{{s(x)=(y[2]-y[1])/(x[2]-x[1])}}} ....use given points  ({{{0}}},{{{0}}}) and ({{{x}}},{{{f(x)}}}) or  ({{{0}}},{{{0}}}) and ({{{x}}},{{{x+1}}})

{{{s(x)=(x+1-0)/(x-0)}}}

{{{s(x)=(x+1)/x}}}

{{{s(x)=x/x+1/x}}}

{{{s(x)=1+1/x }}}  ->  answer to b. an equation for {{{s(x)}}} in terms of {{{x}}}


a. Evaluate: {{{s(5)}}} and {{{s(-2)}}}; 

{{{s(5) =1+1/5=5/5+1/5=6/5}}}

{{{s(5) =1+1/-2=1-1/2=1/2}}}