Question 54873
write an equation in the point-slope form and the slope-intercept form.
slope=-5, passing through (-4, -2)
:
The point-slope formula is {{{highlight(y-y1=m(x-x1))}}} where m=slope and (x1,y1) is the given point:
{{{y-(-2)=-5(x-(-4))}}}
{{{y+2=-5(x+4)}}} <--Point-slope form
:
The slope intercept form is {{{highlight(y=mx+b)}}}, where m=slope and (0,b)=y-intercept.  We take the point-slope form and solve it for y.
{{{y+2=-5(x+4)}}}
{{{y+2=-5x-20}}}
{{{y+2-2=-5x-20-2}}}
{{{y=-5x-22}}}  <---slope-intercept form
Happy Calculating!!!