Question

How would you create a linear equation if you were given an initial value and a rate of change

Answer 1

A linear equation is of the form y = mx + b, where m = slope and b = y-intercept.

In this case, we can also say that the rate of change is the slope of the equation. And an initial value is the y-intercept in the linear equation.

Therefore, we will substitute the rate of change (slope) and initial value (y-intercept) into of line to get the desired equation.

Example:

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

`\begin{gathered} y=mx+b \\ \end{gathered}`

Substituting b = 4 and m = -2, the linear equation is:

`y=-2x+4`