Question

1
Is the point (5,-2) a solution for the function: y = 2/5x + 1
(A) Yes
B) No

Answer 1

No

Explanation:

A solution to a function makes the equation true.

Verifying a Solution

To verify a possible solution, we can plug the values into the equation and see if it's true.

• 
  `-2=(2)/(5) (5)+1`

Now, simplify the right side.

• -2 = 3

Since this statement is not true (5, -2) is not a solution.

What is a Solution?

Numerically, a solution is a coordinate pair that makes an equation true. However, we can also attempt to understand solutions from a graphical viewpoint. The function we are given is a linear function, meaning it is a straight line. Any coordinate pair that is on this line will be a solution. Coordinate pairs that are not on the line, such as (5, -2) are not solutions. Since linear functions are infinite and continuous, the number of solutions for this function is also infinite.