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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

Respuesta :

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

Answer:

The correct option is C.

Step-by-step 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

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-10=\frac{8-10}{4+2}(x+2)[/tex]

[tex]y-10=\frac{-2}{6}(x+2)[/tex]

[tex]y-10=-\frac{1}{3}(x+2)[/tex]

Therefore, Michelle gave the correct function.

Multiply both sides by 3.

[tex]3(y-10)=-(x+2)[/tex]

[tex]3y-30=-x-2[/tex]

[tex]3y+x=-2+30[/tex]

[tex]3y+x=28[/tex]

Therefore, Vincent gave the correct function.

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