write an equation of a line in point slope form that has a slope of -3 and passes through the point 3,-4.

Question

anonymous · Answer

Point slope form looks like: $$y-y _{1}=m(x-x _{1})$$
where m=slope and $$(x _{1},y _{1})$$   is a point on the line.  All you need it to plug in what you were given.   $$y-(-4)=-3(x-3)=y+4=3(x-3)              $$  Hope this helps!

anonymous · Answer

so y+4=3(x−3) is the equation?o:

anonymous · Answer

Yes that's the equation in point slope form.  If you wanted it in slope intercept form you would basically subtract 4 from both sides and then simplify but since you want it in point slope form then yes.  TYPO: I just realized I accidentally put in 3 instead of -3....
Should really be:
$$y+4=-3(x-3)$$      You can see your point (3, -4) and the slope of -3

anonymous · Answer

so then if i were to write another equation for a line in point slope form that has a slope of -3/4 and passes through the poin 4,5. 
the equation would be y-5=-3/4(x−4)?

anonymous · Answer

Yep!  You got it!  I had to look up which form was which because you will mostly use slope-intercept form in the future but yes you are right!!!

anonymous · Answer

slope intercept form is y=mx+b right?

anonymous · Answer

Yep! Point-slope form gives you more information in the equation but slope-intercept form gives you the only two pieces of information you really need in my opinion.

anonymous · Answer

alrighty thank you so much :D

anonymous · Answer

No problem!