Coordinate Geometry

Find the equation of the line $AB$.
Give your answer in the form $y = mx + c$.

$y$ = ______

Write down the gradient of a line that is perpendicular to the line $AB$.

______

Write down the gradient of line $L$.

______

Show that the coordinates of point $B$ are $(0, -3)$.

Line $N$ is the perpendicular bisector of the line joining point $A$ and point $B$.
Line $N$ crosses the $x$-axis at point $C$.

Find the coordinates of point $C$.

( ______ , ______ )

The length $QR$ is 13 units.

Find the two possible values of $n$.

$n$ = ______ or $n$ = ______

$RST$ is a straight line and $RS : RT = 2 : 5$.

Find the coordinates of $T$.

( ______ , ______ )

Find the equation of the perpendicular bisector of $RS$.

______

Find the gradient of line $L$.

______

Find the coordinates of the point where line $L$ crosses the $y$-axis.

( ______ , ______ )

Find the length of line $AB$.

______

Find the equation of line $AB$.
Give your answer in the form $y = mx + c$.

$y$ = ______

Calculate the length of $PQ$.

______

Find the equation of the perpendicular bisector of $PQ$.

______

The length of $DE$ is $\sqrt{20}$.

Form an equation in $e$ and solve it to find the possible coordinates of $E$.
Show your working.

( ______ , ______ ) or ( ______ , ______ )

Find the value of $f$.

$f$ = ______

The equation of the perpendicular bisector of $DF$ is $2y = 3x + k$.

Find the value of $k$.

$k$ = ______

Find the coordinates of the midpoint of $AB$.

( ______ , ______ )

Show that the equation of line $AB$ is $3y = x + 11$.

Find the equation of the perpendicular bisector of line $AB$.

______

Calculate the length of $PQ$.

______ $\text{cm}$

Show that the equation of line $L$ is $3y + x = 1$.

Line $M$ is perpendicular to line $L$ and passes through point $P$.

Find the equation of line $M$.
Give your answer in the form $y = mx + c$.

$y$ = ______

Calculate the length of $QR$.

______ $\text{units}$

Calculate the value of $\cos S\hat{Q}R$.

______

Show that $x + 2y = 13$.

Find the coordinates of the midpoint of $AB$.

( ______ , ______ )

Find the gradient of $AB$.

______

Show that $BC$ is perpendicular to $AB$.

Calculate the perimeter of rectangle $ABCD$.

______ $\text{units}$