Question

Please answer

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

y = ___x +____

Answer 1

Answer:

y=mx+c

Step-by-step explanation:

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Answer 2

The linear equation is y = -23x + 22.

Step-by-step explanation:

Let the linear equation, y = mx + c................(i)

Where m = slope and c = constant

$(x_{1} ,y_{1}) = (2,-24) \\(x_{2}, y_{2})=(3,-47)\\Slope = m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m = \frac{-47-(-24)}{3-2}\\m = \frac{-23}{1} = -23$

Plug the value of (2, -24) and m = -23 in equation(i),

-24 = (-23)2 + c

=> -24 = -46 + c

=> c = -24 + 46 = 22

Now, equation(i) becomes,

y = -23x + 22

Hence, the linear equation is y = -23x + 22.