 UPSKILL MATH PLUS

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Let us consider an example of how to plot a point $$(6,5)$$ in the cartesian plane:

1. Let us start from the origin $$(0,0)$$, move $$6$$ units along $$OX$$.

2. From the point $$6$$ in the $$x$$ - axis, move $$5$$ units parallel to $$OY$$, to reach the point $$(6,5)$$. Example:
Plot the points $$(2,-3)$$, $$(4,5)$$, $$(-7,3)$$, $$(0,3)$$ and $$(-4,0)$$ in the cartesian plane.

Solution:

($$i$$) To plot $$(2,-3)$$:

Start from the origin $$(0,0)$$, move $$2$$ units along $$OX$$ and from the point $$2$$ in the $$x$$ - axis move $$3$$ units parallel to $$OY'$$.

($$ii$$) Plot $$(4,5)$$:

Start from the origin $$(0,0)$$, move $$4$$ units along $$OX$$ and from the point $$4$$ in the $$x$$ - axis move $$5$$ units parallel to $$OY$$.

($$iii$$) Plot $$(-3,3)$$:

Start from the origin $$(0,0)$$, move $$3$$ units along $$OX'$$ and from the point $$-3$$ in the $$x$$ - axis move $$3$$ units parallel to $$OY$$.

($$iv$$) Plot $$(0,3)$$:

Since the $$x$$ - coordinate is $$0$$, and the $$y$$ - coordinate is $$3$$, the point lies on the $$y$$ - axis. Start from $$(0,0)$$, move $$3$$ units along $$OY$$.

($$v$$) Plot $$(-4,0)$$:

Since the $$x$$ - coordinate is $$-4$$, and the $$y$$ - coordinate is $$0$$, the point lies on the $$x$$ - axis. Start from $$(0,0)$$, move $$4$$ units along $$OX'$$. 