Start at (0,1) and go up 3 and over 1 to (1,4) connect the points. Explanation: y = 3 x + 1 is in the slope intercept form y = m x + b
m = the slope in this case 3 b = the y intercept in this case 1. Think of b the y intercept as the beginning this is where to start the graph. 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