Answered

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?

ALouis and Tonya
BMichelle and Tonya
CMichelle and Vincent
DLouis, Michelle, Tonya and Vincent

Verified Answer :

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

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-10=\frac{8-10}{4+2}(x+2)\)

\(y-10=\frac{-2}{6}(x+2)\)

\(y-10=-\frac{1}{3}(x+2)\)

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.

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