Question

please check out attachment for answer choices in the comment box.
What is the point-slope equation of the line with slope -1/3 that goes through the point (4, -5)?

Answer 1

isn't it A ? @eseidl

Answer 2

remember the definition of slope, rise/run. On a straight line the slope is the same no matter what two points (on the line) we pick to calculate it. We are given one point on the line: (4,-5). Any other point on the line with coordinates (x,y) will give us the slope:\[\frac{-1}{3}=\frac{y-(-5)}{x-4}\]This gives:\[\frac{-1}{3}=\frac{y+5}{x-4}\]or,in point-slope form,\[y+5=\frac{-1}{3}(x-4)\]

Answer 3

So, D is the answer

Answer 4

thank you so much

Answer 5

no problem. remember that you are always subtracting the known points coordinates in your point-slope formula. So if one of the known coordinates is a negative number, it will end up being an addition in the point-slope equation (subtracting a negative number is the same thing as addition).