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.

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is