Question 127413
From the given points, we can calsulate the slope.
That is, the difference in y ocer the difference in x.


{{{(7-(-5))/((-2)-3)}}}


The slope is {{{-12/5}}}


And we can plug in the slope along with one of the given coordinate sets into the point-slope formula in order to get the equation for the line.


(y - 7) = {{{-12/5}}}( x - (-2) )


(y - 7) = {{{-12/5}}}x {{{-24/5}}}


y = {{{-12/5}}} x + {{{11/5}}}


But since this is to be in function notation:


f(x) = {{{-12/5}}}x + {{{11/5}}}