Question

What is the solution to the system that is created by the equation y= 2x + 10 and the graph shown below? (–8, –6) (–4, –2) (0, 2) (2, 4)

Answer 1

Answer:

(-8,-6)

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Answer 2

Answer:

The solution to the system that is created by the equation y = 2x + 10 is

( -8 , -6 )

Step-by-step explanation:

Given:

y = 2x + 10

Justification:

For a Point to be a solution of the system of the equation of a line then it must satisfy the equation by substituting the X coordinate and Y coordinate.

Left hand side  = Right-hand side

For point (–8, –6)

Put x = -8 and y = -6 in the given equation then

Left hand side = y

                        = -6

Right-hand side = 2× -8 + 10

                           = -16 + 10

                           = -4

∴ Left hand side = Right-hand side

∴ Point (–8, –6) is the Solution for y = 2x + 10

For points (–4, –2), (0, 2), and (2, 4)

Left hand side ≠ Right-hand side

∴ Points (–4, –2), (0, 2), and (2, 4) are not a Solution.