Data Sufficiency

Economist GMAT



In the rectangular coordinates in the figure above, what is the value of p?

1) The equation of the line l is y = 1.5x + 1.
2)The equation of the line m is y = 0.5x + 3.

OA D

AAPL wrote:Economist GMAT



In the rectangular coordinates in the figure above, what is the value of p?

1) The equation of the line l is y = 1.5x + 1.
2)The equation of the line m is y = 0.5x + 3.
OA D

$$? = p$$
$$\left( 1 \right)\,\,{\rm{line}}\,\,l\,\,{\rm{given}}\,\,\left( * \right)\,\,\,\,:\,\,\,\,\,\left( {2,p} \right) \in l\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,p = 1.5\left( 2 \right) + 1\,\,\,\, \Rightarrow \,\,\,\,{\rm{SUFF}}.$$
$$\left( 2 \right)\,\,{\rm{line}}\,\,m\,\,{\rm{given}}\,\,\left( {**} \right)\,\,\,\,:\,\,\,\,\,\left( {2,p} \right) \in m\,\,\,\,\mathop \Rightarrow \limits^{\left( {**} \right)} \,\,\,\,\,p = 0.5\left( 2 \right) + 3\,\,\,\, \Rightarrow \,\,\,\,{\rm{SUFF}}{\rm{.}}$$

The correct answer is therefore (D).


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.