Write a linear equation for the tables shown. y = mx + b y =__ x + x y x y -6 12 -14 3 -5 14 -12 6 -4 16 -10 9 -3 18 - 8 12 -2 20 - 6 15

ANSWER TO QUESTION 1

EXPLANATION

Method 1: Finding the equation given any 2 points

We  choose any two of the ordered pairs from the first table, say

and

We determine the slope using the formula;

Let be

and

be

Then,

We now use  the formula,

to find the equation of this line.

That is ;

ANSWER TO QUESTION 2

Method 2: Using Simultaneous equations

We use the slope intercept form  for the second table

The point

must satisfy this line.

The point

must also satisfy this line.

Equation (1)  minus Equation (2) gives

We substitute in to equation (1)

and solve for b.

Solving simultaneously gives

and

Hence the equation is

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step-by-step explanation:

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