Question

The points ​(2​,10​) and ​(minus2​,minus10​) are plotted on the coordinate plane using the equation yequalsatimesx. How can you use the coordinates to find the value of​ a? Select the correct answer​ below, and fill in the answer box to complete your choice. ​(Type a whole​ number.) A. The value of a is the number that the​ y-values are multiplied by to get to the corresponding​ x-values. So, aequals nothing. B. The value of a is the absolute value of the difference of the​ y-values. So, aequals nothing. C. The value of a is the number that the​ x-values are multiplied by to get to the corresponding​ y-values. So, aequals nothing. D. The value of a is the absolute value of the difference of the​ x-values. So, aequals nothing.

Answer 1

Answer: The value of a is the number that the​ x-values are multiplied by to get to the corresponding​ y-values. So, a equals 5

We have

y=ax

so a is clearly the number we multiply by the x values.

Substituting either points (2,10) and (-2,-10),

10 = a(2)

a = 10/2 = 5