Question

What is the function equation in function notation?

enter your answer in the box show your work. explain how you found numbers for the slope and y intercept ​

Answer 1

`y= 2x +1`

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

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 =(\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