Question

Draw the
graph of
line y = 2x+1

Answer 1

Answer:

when x = 1 then y = 2 1 + 1 = 3 and when x = 2 then y = y = 2 2 + 1 = 5. Here is my table including these two values of x and a few more.

x y

1 3

2 5

3 7

0 1

-1 -1

-2 -3

Now I put these points on my graph.

Now you can see the "shape" of the graph. If you have plotted these points accurately and you place a ruler along the points you will see that they all lie on a straight line.

Graph of y = 2x + 1

If you knew at the beginning, from the "form" of the equation that the graph was a straight line then you could have plotted the graph more quickly. In this case you only need to calculate and plot two points and the line joining these