Question 1208658
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Let's find the slope.
{{{matrix(1,15,"Given","points:","(",x[1],",",y[1],") = ","(-9,5)","and","(",x[2],",",y[2],") = ","(-3,3)")}}}


{{{m = slope = rise/run = matrix(1,3,"change","in","y")/matrix(1,3,"change","in","x")}}}


{{{m = (y[2] - y[1])/(x[2] - x[1])}}}


{{{m = (3 - 5)/(-3 - (-9))}}}


{{{m = (3 - 5)/(-3 + 9)}}}


{{{m = (-2)/(6)}}}


{{{m = -1/3}}}
The slope is -1/3 which means go down 1 and then right 3.


Next apply the point-slope template.
{{{y-y[1] = m(x - x[1])}}}


{{{y-y[1] = expr(-1/3)(x - x[1])}}} Plug in the slope.


{{{y-5 = expr(-1/3)(x - (-9))}}} Plug in one of the point's coordinates.


{{{y-5 = expr(-1/3)(x + 9)}}}


{{{y-5 = expr(-1/3)x - expr(1/3)(9)}}}


{{{y-5 = expr(-1/3)x -3}}}


{{{y = expr(-1/3)x -3+5}}}


{{{y = expr(-1/3)x +2}}} is the <font color=red>final answer</font>
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