Question 152585
Note: The origin is the point (0,0)



{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the slope formula.



{{{m=(0--2)/(0--4)}}} Plug in {{{y[2]=0}}}, {{{y[1]=-2}}}, {{{x[2]=0}}}, {{{x[1]=-4}}}



{{{m=(2)/(0--4)}}} Subtract {{{-2}}} from {{{0}}} to get {{{2}}}



{{{m=(2)/(4)}}} Subtract {{{-4}}} from {{{0}}} to get {{{4}}}



{{{m=1/2}}} Reduce



So the slope of the line that goes through the points *[Tex \LARGE \left(-4,-2\right)] and *[Tex \LARGE \left(0,0\right)] is {{{m=1/2}}}