Question 117559
{{{m=(y[2]-y[1])/(x[2]-x[1])}}} Start with the given slope formula



{{{-2/3=(y-5)/(7-3)}}} Plug in {{{m=-2/3}}}, {{{y[2]=y}}}, {{{y[1]=5}}}, {{{x[2]=7}}}, and {{{x[1]=3}}}




{{{-2/3=(y-5)/4}}} Subtract



{{{-8/3=y-5}}} Multiply both sides by 4



{{{-8/3+5=y}}} Add 5 to both sides



{{{7/3=y}}} Combine like terms


So our answer is {{{y=7/3}}}