Question

What is the function equation in function notation?

Answer 1

Answer:

$y= 2x +1$

By direct comparison we can see that m =2 (slope) and b =1 (intercept)

Step-by-step explanation:

Assuming the following function:

$y-2x =1$

We want to find the following general equation for a linear model:

$y = mx +b$

On this case we just need to add 2x on both sides of the original equation and we got:

$y= 2x +1$

By direct comparison we can see that m =2 and b =1

$mx + b = 2x +1$

$mx=2x , m =2$

$b =1$

the value of m on this case represnt the slope and b the intercept.

The slope is defined by the following formula:

$m =\frac{\Delta y}{\Delta x}$

And is the interpretation is the rate of change of y respect to x, can be positive or negative. Or the increase/decrease of y when x increase 1 unit.

And the value b=1 represent the y intercept, that means if x=0 then y =1