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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.
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What do you call the kind of gaph that y equals 6 stands for?
A horizontal line.
What is a root of a quadratic equation?
The Quadratic Eq;n , when plotted on gaph paper, will reveal a parabola. This patrabola can intersect the x-axis in two places, just touch the x-axis or miss it altogether. The roots of a quadratic eq;n are the point(s) were the parabola intersects the x-axis. If is intersects at two points, then there are two roots. If it just touches the x-axis, then there is one root only. If it does not touch the x-axis, then the eq'n remains unresolved.
