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 .

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4