Answer:
[tex] y= 2x +1[/tex]
By direct comparison we can see that m =2 (slope) and b =1 (intercept)
Step-by-step explanation:
Assuming the following function:
[tex] y-2x =1[/tex]
We want to find the following general equation for a linear model:
[tex]y = mx +b [/tex]
On this case we just need to add 2x on both sides of the original equation and we got:
[tex] y= 2x +1[/tex]
By direct comparison we can see that m =2 and b =1
[tex] mx + b = 2x +1[/tex]
[tex]mx=2x , m =2[/tex]
[tex] b =1[/tex]
the value of m on this case represnt the slope and b the intercept.
The slope is defined by the following formula:
[tex] m =\frac{\Delta y}{\Delta x}[/tex]
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
