1) To plot a linear equation, like y=2x +3 let's visualize the graph
2) Set this function as an equation, to find the root of that function the x coordinate
y= 2x +3 Turn this to an equation
2x +3 =0 Subtract 3 from both sides
2x +3 -3 = -3
2x+0=-3 Divide both sides by 2
x=-3/2 -3/2 = -1.5
Looking at the function, we can see that the slope m=2, m>0, and the y-intercept is 3
Now we can set a table, where we can choose any value for x and then plug it into the function
x = 0 , y = 2(0) +3 y= 3
x= 1, y = 2(1) +3 y= 5
x=-1.5 y = 2(-1.5) +3 y=0
x | y
0 3
1 5
-1.5 0
At least 3 points already determine a line
Our graph must be like this: