How would you gaph the equation y equals 2x minuis3?

Answer 1

You know that y = 2x - 3, so to draw the graph:

(a) You work out where this equation meets the horizontal axis of the graph and put a mark there.

(b) You also work out where it meets the vertical axis of the graph and put a mark there.

You then draw a straight line through the two points which carries on on either side.

For (a) the equation meets the horizontal axis when y = 0.

You know that y = 2x - 3, so put y = 0 into this equation.

0 = 2x - 3

-> 3 = 2x

-> x = 1.5

So the line meets the horizontal axis when x = 1.5

For (b) the equation meets the vertical axis when x = 0

So again put that into y = 2x - 3

So y = 2*0 - 3

-> y = -3

So the line meets the vertical axis when y = -3.

Draw a line through these two points (1.5,0) and (0,-3) and there you have your graph.