Question 54114
Use the slope (m) formula to find the slope between (x1,y1)=(-2,3) and (x2,y2)=(4,7)
The slope formula is {{{highlight(m=(y2-y1)/(x2-x1))}}}
{{{m=(7-3)/(4-(-2))}}}
{{{m=4/6}}} reduce and:
m=2/3
Use (x,y)=(-2,3). Plug into the slope intercept form {{highlight(y=mx+b)}}} and solve for b.
{{{3=(2/3)(-2)+b}}}
{{{3=-4/3+b}}}
{{{3+4/3=4/3-4/3+b}}}
{{{(3*3)/(3*1)+4/3=b}}}
{{{9/3+4/3=b}}}
{{{(9+4)/3=b}}}
{{{13/3=b}}}
Now you have m=2/3 and b=13/3, plug them into y=mx+b and you have the equation of the line:
{{{highlight(y=(2/3)x+13/3)}}}
Happy Calculating!!!