Question 212018
what's the equation for points (0,-5) (-3,-2)?


Slope, or m = {{{(y[2]-y[1])/(x[2]-x[1])}}} = {{{(-2--5)/(-3--0)}}} = {{{3/(-3)}}} = - 1


Using the point-slope formula, we have:

{{{y - y[1] = m(x - x[1])}}} -----> {{{y - - 5 = -1(x - 0)}}}

{{{y + 5 = -x}}} ------> {{{highlight_green(y = -x - 5)}}} --- Slope-intercept form, or, 

{{{highlight_green(x + y = - 5)}}} ---- Standard form