Rate Law for Two Reactant Systems

For the reaction

the rate law can be written as:

where $k$ is the rate constant for the reaction.

Under the condition $[B{]}_0>>[A{]}_0,$ a good linear regression fit can be obtained for a plot of $A($M$)$ versus $t($s$).$

For two sets of differing initial concentrations, the equations of were found to be:Equation of regression line

$[$B$]0$

y $=-1\mathrm{.}81\backslash$times $10-5$x $+0\mathrm{.}0001161\mathrm{.}17$ M

y $=-2\mathrm{.}80\backslash$times $10-5$x $+0\mathrm{.}0001851\mathrm{.}81$ M

What is the value of $m?$

$m=$

What is the value of $n?$

$n=$

What is the rate constant k $($with consistent units$)?$