Question

Louis, Michelle, Tonya, and Vincent were asked to find an equation for a function that passed through the points (-2, 10) and (4, 8).

Louis gave the function y = 10(
4
5
)(x+2)/6
Michelle gave the function y - 10 = -
1
3
(x + 2)
Tonya gave the function y = (3
800
)
4
5
x/6
Vincent gave the function x + 3y = 28

Which student(s), if any, are correct?
A) Louis and Tonya
B) Michelle and Tonya
C) Michelle and Vincent
D) Louis, Michelle, Tonya and Vincent

Answer 1

The correct answer is D) Louis, Michelle, Tonya, and Vincent. I have taken the test.

Answer 2

The correct option is C.

Explanation:

The line passing through two points (-2,10) and (4,8).

If a line passing through two points then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-10=(8-10)/(4+2)(x+2)`

`y-10=(-2)/(6)(x+2)`

`y-10=-(1)/(3)(x+2)`

Therefore, Michelle gave the correct function.

Multiply both sides by 3.

`3(y-10)=-(x+2)`

`3y-30=-x-2`

`3y+x=-2+30`

`3y+x=28`

Therefore, Vincent gave the correct function.

Since Michelle and Vincent gave the correct function, therefore option C is correct.