How to graph the equation y = 3 x + 1 ?

${\displaystyle y=3x+1}$ is in the slope intercept form
${\displaystyle y=mx+b}$
m = the slope in this case 3
b = the y intercept in this case 1.
Think of b as the graph's starting point; it is the y intercept.
So start with (0,1) the y intercept and make the first point at (0,1)
Think of m ( the slope) as the mountain slope, This is the angle of the slope of the line
So in this case go up three on the y axis and over 1 on the x axis.
make the next point at 1 + 3 = 4 for the y value and 0 + 1 = 1 for the x value. Make the next point at ( 1, 4)
Now connect the points. creating the line