Question

Please help with this!!!!!

Answer 1

y = - 2x + 7

Explanation:

Note the differences in the corresponding values of y are constant

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 3 - )- 1) = - 2

This constant is the multiplier of the x values, thus

y = - 2x ± c where c is a constant

To find c substitute values of x into the equation

x = 0 → y = 0 ← require to add 7 to obtain corresponding value of y

x = 1 → y = - 2 ← require to add 7 to obtain corresponding value of y

Thus algebraic description is

y = - 2x + 7

Answer 2

y = -2x + 7.

Explanation:

The slope is (5-7)/1-0 = -2 ,

Checking with other values: slope = (- 3 - 7)/ (5-0) = -10/6 = -2.

So the function is -2x + c where c is some constant.

Plugging in the point (0, 7):

7 = -2(0) + c

c = 7.

So the answer is y = -2x + 7.