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.

The process to create linear equation is given below.

Case 1: When 2 data points are given.

Let the two data ints be and .

Then the linear equation is defined by the formula,

   ..... (1)

For example: Let the two points be (2,-1) and (-4,2). Then we get,

Case 2: When the initial value and rate of change is given.

Let the initial value be and slope is m. The rate of change is know as slope.

Then the linear equation is defined by the formula,

   ..... (2)

For example: Let the initial point be (4,5) and rate of change is 2. Then we get,

Hence, the equation (1) and (2) are the formula to create a linear equation.

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33