Explain how to graph the equation y = 2x − 3 without using a table of values.

Y = mx + c 
m is the gradient of the graph, for each time you go across 1 x you go up y 'm' times, in your case you go up twice each time you go across once along x
c is the y intercept, the number where the y axis is cut and where you should start drawing your graph

Y=m times x plus b
M= 2 (slope)
X= x (variable)
B= -3 (y-intercept)