Coordinates

The graph illustrates the line $y = 2x + 1$. Point $P$ has coordinates $(a, b)$, where $a$ and $b$ are both positive integers. The values of $a$ and $b$ obey the inequalities $a < 2$, $b < 7$ and $b > 2a + 1$.

May/June 2015

$A$ is the point $(5,2)$ while $B$ is the point $(9,6)$. $AC$ runs parallel to the $x$-axis, and $CB$ runs parallel to the $y$-axis. The equation for the line $AB$ is $x - y = 3$.

Oct/Nov 2016