Question 72606
The slope intercept form is:
.
{{{y = m*x + b}}}
.
where m is the slope and b is the y-intercept which is the point on the y-axis where the
graph crosses.
.
In this case you are given that the slope (m) is {{{-2/5}}} which means that for every 5 units
you go horizontally to the right, the graph drops vertically 2 units. (It drops because of
the minus sign.  If the slope were a positive value {{{2/5}}}, then for every 5 units you go 
horizontally to the right, you would go vertically up 2 units.)
.
You are also told that the y-intercept (b) is + 3. 
.
So all you need to do to answer this question is to go to the standard slope intercept
equation of {{{y = m*x + b}}} and plug {{{-2/5)}}} in for m and {{{+3}}} for b to get the
slope intercept equation of:
.
{{{y = (-2/5)*x + 3}}}
.
Piece of cake!!!
.
and here's the graph of this equation so that you can see what a negative slope of {{{-2/5}}} 
looks like and can verify that the graph crosses the y axis at + 3.
.
{{{graph (400, 400,-10,10,-10,10, -2/5*x + 3)}}}
.
Hope this helps you to catch up and also hope you are feeling better now.
.