Question 84820
Determine the slope-intercept form of the equation of the line.  The points on the graph are (0,2), (-6,-7).  
There is a couple of ways to do this.  I'll show you one.
The slope-intercept form of the equation of a line is:  {{{highlight(y=mx+b)}}}, where m=slope and (0,b) is the y-intercept.
You have (0,b)=(0,2), but you don't have the slope, m.
You can find the slope using the slope formula:  {{{highlight(m=(y[2]-y[1])/(x[2]-x[1]))}}}, where (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(0,2) and (x2,y2)=(-6,-7)
{{{m=(-7-2)/(-6-0)}}}
{{{m=-9/(-6)}}}
{{{m=3/2}}}
Now substitute m=3/2 and (0,b)=(0,2) into y=mx+b
{{{highlight(y=(3/2)x+2)}}}
Happy Calculating!!!!