When given 2 data points, how would you use this information to create a linear equation? how would you create a linear equation if you were given an initial value and a rate of change? use examples of your own to explain the process

Step-by-step explanation:

A. When we are given two points we can find a linear equation by finding slope of the line and substituting it in point-slope form of equations.

Let (0,0) and (3,6) be two data points. Now we will find slope from these points.

Now we will substitute our values in point-slope form of linear equations.

Therefore, our resulted linear equation will be

B. We will substitute the rate of change (slope) and initial value (y-intercept) into slope-intercept form of line to get the desired equation.

Let 4 be our initial value and -2 be our rate of change then,

Substituting x=0 we will get value for b that is our y-intercept.

Therefore, our equation for line will be .

addition

step-by-step explanation:

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