A line in the xy-plane passes through the points (1,-2) And has a slope of 1/3. Which of the following points lies on the line? A) (3,-2)
B) (2,-4/3)
C) (0,-2)
D) (-1,-8/3)

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.

c is your correct answer

answer:

there are two type of guys

1. the guy who is trying to impress his friends and not care about what the girl thinks

2. the guys who gave up giving respect to girls because the girls screw him over to much

explanation: