Question 117528
Since you are given the slope and a point that is not the y-intercept, you need to use the point-slope form of a line to define the equation.


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


You can simplify this to:
{{{2y-6=-3x+15}}}
{{{3x+2y=21}}}


Now you can substitute the x and y coordinates for the given set of points and see which ordered pairs make the statement true.  I'll check one of them and you can do the rest.


(-4,9)
{{{3(-4)+2(9)=6<>21}}} so the statement given those coordinate values is false and you can say that (-4,9) does NOT lie on the line.


Hope this helps.