Graph this linear function y=x+3

Question

I don't get it

Answer 1

Linear functions are the equations that create slope lines on graphs. 

 

The general equation that applies to this is y=mx+b

 

m is equal to the slope of the line or the rate that the line goes up or down.

 

b is the y-intercept, the point at which the line crosses the y bar on the graph. 

 

Since there is no number before the 'x', the slope is simply 1. So, the points on the graph will increase by one both in the upward direction (since it is a positive slope and not negative) and the right direction.

 

The y-intercept, or 'b', of this equation is a positive 3. So the point that the graphed line crosses the y bar is: (0,3).

 

The coordinates for this graphed linear function would be like this: (0,3) , (1,4) , (2,5) , (3,6) and so on. 

Answer 2

The function has a slope of 1 and a y-intercept of (0, 3).  To graph this function, we need to plot two points on a coordinate system.  We already know the first point.  That point is (0, 3).  To plot the next point, we use the slope and the first point as a reference point.  From this first point, move 1 unit to the right and then 1 unit up.  You should end up at the point (1, 4).

 

So your two points to plot are (0, 3) and (1, 4).  Then you will connect them in a straight line.  That's all there is to it.