Question 54875
write an equation in slope intercept form for graph.
(4,3) (7,-2)
We need a slope and a point to make the equation of a line.  The formula for finding the slope (m) when given two points is:
{{{highlight(m=(y2-y1)/(x2-x1))}}}
(x1,y1)=(4,3)  and (x2,y2)=(7,-2)
{{{y=(-2-3)/(7-4)}}}
m=-5/3
Now we use one of the points (x1,y1)=(4,3) and the slope m=-5/3 in the point slope formula: {{{highlight(y-y1=m(x-x1))}}}.
{{{y-3=(-5/3)(x-4)}}}
{{{3(y-3)=3(-5/3)(x-4)}}}
{{{3y-9=(-15/3)(x-4)}}}
{{{3y-9=-5(x-4)}}}
{{{3y-9=-5x+20}}}
{{{3y-9+9=-5x+20+9}}}
{{{3y=-5x+29}}}
{{{3y/3=-5x/3+29/3}}}
{{{y=-(5/3)x+29/3}}}
Happy Calculating!!!