Can someone explain to me what linear functions are i have having issues with understanding it, like system of linear equations. I need someone to break it down for me.

Question

anonymous · Answer

linear functions usually given as 
$$f(x)=mx+b$$ the fancy term would be a polynomial of degree 1

anonymous · Answer

called "linear" because if you graph 
$$y=mx+b$$ you get a line

anonymous · Answer

$$m$$ would be the slope, meaning how many units up or down you go in the y - direction for every one  unit to the right in the x direction

anonymous · Answer

and $$b$$ is where the graph crosses the y - axis because if you replace x by 0 you get 
$$f(0)=m\times 0+b=b$$meaning (0,b) is on the graph