![y=-\frac13x+\frac{10}3](/tex.php?f=y=-\frac13x+\frac{10}3)
step-by-step explanation:
assume that y=mx+n
you may see as
, where ![a=\frac31, \ b=-1](/tex.php?f=a=\frac31, \ b=-1)
in
we change places of numerator and denominator, then we insert an opposite sign
and substitute m=-1/3 in the equation y=mx+n
![y=-\frac13x+n](/tex.php?f=y=-\frac13x+n)
point (4,2), so we substitute x=4, y=2 to the equation
and calculate ![n](/tex.php?f=n)
![2=-\frac13\cdot 4+n\ \to \ 2+\frac43=n\ \to \ n=2\frac43 \ \to \ n=\frac{10}3](/tex.php?f=2=-\frac13\cdot 4+n\ \to \ 2+\frac43=n\ \to \ n=2\frac43 \ \to \ n=\frac{10}3)
the answer is ![y=-\frac13x+\frac{10}3](/tex.php?f=y=-\frac13x+\frac{10}3)