Question 94293
1st find the slope (m) of the line.
{{{m=(y-y[1])/(x-x[1])=(4-1)/(-3-6)=3/-9=-1/3}}}
Now we rearange the slope formula to give us the point-slope form of the equation of a line.
{{{m(x-x[1])=y-y[1]}}}
Now we plug either of the sets of points into the above.
{{{(-1/3)(x-(-3))=y-4}}}
{{{(-1/3)(x+3)=y-4}}}
{{{(-x/3)-1=y-4}}}
Add 4 to each side. {{{(-x/3)+3=y}}}
Ed Jones
{{{graph(500,375,-10,10,-5,10,(-x/3)+3)}}}