Answer:
D) (-1,-8/3)
Explanation:
To solve this we need the point-slope formula, because we are given a point and a slope.
y-y₁=m(x-x₁)
In this problem, m=1/3 and (x₁, y₁)=(1, -2)
So when we plug these into the formula we have
y- -2 = 1/3(x-1) (I will rewrite y - -2 as y+2 because subtracting a negative is the same as adding a positive).
Now we can plug each of the points from the multiple choice into the equation. If one of them works (gives us a true statement), that's our answer.
A) use 3 for x and -2 for y.
-2 + 2 = 1/3 (3-1)
0 = 1/3 (2)
0= 2/3 This is not correct, so A is not the answer.
B) use 2 for x and -4/3 for y
-4/3 + 2 = 1/3 (2-1)
2/3 = 1/3 (1)
2/3 = 1/3 This is not correct, so B is not the answer.
C) Use 0 for x and -2 for y.
-2+2 = 1/3(0-1)
0=1/3(-1)
0=-1/3 This is not correct, so C is not the answer
D) Use -1 for x and -8/3 for y.
-8/3 +2=1/3(-1-1)
-2/3 = 1/3(-2)
-2/3 = -2/3 This is a true statement. Plus, we had already eliminated A, B, and C, so it would have to be D if our calculations were correct.
