Question

Which equation represents the data shown in the table below?

Answer 1

Answer:

y = -2x + 7

Step-by-step explanation:

The equation of a line could be represented as original form:

y = ax + b

Let's pick the first 2 pairs of numbers in the table: (x, y) = (1, 5) and (x, y) = (2, 3).

=> 5 = a*1 + b

    3 = a*2 + b

Subtract the 1st equation from the 2nd equation, we have:

-2 = (2a - a) + (b - b)

or

-2 = a

Substitute a = -2 into the 1st equation, we have:

5 = (-2)*1 + b

or

5 = -2 + b

or

b = 2 + 5 = 7

=> Substitute a = -2 and b = 7 into original form, the equation that represents the data shown in the table is:

y = -2x + 7

Hope this helps!