Question 159643
The basic definition of slope is: change in y / change in x
It is given that this equals {{{-(1/3)}}}
Also given is the point (3,2)
I can say {{{(2 - y[1]) / (3 - x[1]) = -(1/3)}}}
Suppose I say {{{y[1] = 3}}}
Now I have {{{(2 - 3) / (3 - x[1]) = -(1/3)}}}
{{{(-1) / (3 - x[1]) = -(1/3)}}}
For this to be true, {{{x[1]}}} has to be {{{0}}}
{{{(-1) / (3 - 0) = -(1/3)}}}
So this line also goes through (0,3)
Now just connect (3,2) and (0,3) to graph the line
I can check by finding the equation
{{{y = mx + b}}}
{{{2 = -(1/3)*3 + b}}}
{{{3 = -(1/3)*0 + b}}}
From the 2nd equation I get {{{b = 3}}}, so
{{{2 = -(1/3)*3 + b}}}
{{{2 = -1 + b}}}
{{{b = 3}}} so,
{{{y = -(1/3)x + 3}}} This is the general equation
check for (0,3)
{{{3 = -(1/3)*0 + 3}}}
{{{3 = 3}}}
OK