Question

Pls helpme with this​

Answer 1

Answer: y+7x

Step-by-step explanation: y equals to 7x because 7x1 is 1 and vice versa.

Answer 2

Answer: y = 7x

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Step-by-step explanation:

Pick two points from the table such as (1,7) and (2,14)

Apply the slope formula.

`(x_1,y_1) = (1,7) \text{ and } (x_2,y_2) = (2,14)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (14 - 7)/(2 - 1)\\\\m = (7)/(1)\\\\m = 7\\\\`

This means y = mx+b updates to y = 7x+b

Plug a point like (1,7) into that equation to solve for b.

y = 7x+b

7 = 7*1+b

7 = 7+b

7-7 = b

0 = b

b = 0

We go from y = 7x+b to y = 7x+0

That simplifies to the final answer of y = 7x

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Check:

Plug x = 2 to get

y = 7x

y = 7*2

y = 14

This shows (2,14) is on the line, and it matches with the table.

I'll let you check the other x values.

Another way to verify is to use a graphing app like GeoGebra or Desmos.