Question 60281
The point-slope formula is {{{highlight(y-y1=m(x-x1))}}}, m=slope and (x1,y1)=given point.
If you were asked to write the equation of a line with the slope of -3/5 going through the point (-7,2), you'd do the following.
m=-3/5 and (x1,y1)=(-7,2)
{{{y-2=(-3/5)(x-(-7))}}}
{{{y-2=(-3/5)(x+7)}}}
{{{5(y-2)=5(-3/5)(x+7)}}}
{{{5y-10=-3(x+7)}}}
{{{5y-10=-3x-21}}}
{{{5y-10+10=-3x-21+10}}}
{{{5y=-3x-11}}}
{{{5y/5=-3x/5-11/5}}}
{{{highlight(y=(-3/5)x-11/5)}}} <----this is slope intercept form {{{highlight(y=mx+b)}}}
Happy Calculating!!!