Question 122166
{{{-1*x+3*y=15}}} Start with the given equation


Now let's find the y-intercept


To find the y-intercept, let x=0 and solve for y:

{{{-1*(0)+3*y=15}}} Plug in {{{x=0}}}


{{{3*y=15}}} Simplify


{{{x=15/3}}} Divide both sides by 3




{{{y=5}}} Reduce




So the y-intercept is *[Tex \Large \left(0,5\right)] (note: the y-intercept will always have a x-coordinate equal to zero)