Linear Graphs (Cambridge (CIE) O Level Maths): Exam Questions

Find the gradient of a line that is perpendicular to $8y+4x=5$.

The equation of line L is $3x-8y+20=0.$

i) Find the gradient of line L.  

[2]

ii) Find the coordinates of the point where line L cuts the $y$-axis.  

( ................... , ................... ) [1]

Write down the function shown in the graph.

$\mathrm{f}\left(x\right)=$..............................................

Sketch the graph of the function.

$y=x-3$

Show that the line  $4y=5x-10$  is perpendicular to the line  $5y+4x=35$.

Find the gradient of the line that is perpendicular to the line  $2y=3+5x$.

Line L passes through the points $(0,-3)$ and $(6,9)$.

Find the equation of line L.

Find the equation of line $l$ in the form  $y=mx+c$.  

$y$ = ...............................................

$B$ is the  mid-point of the line $AC$.  

Find the co-ordinates of $C$.

( ........................ , ....................... )

Find the equation of the straight line that passes through $A$ and $B$.

The straight line that passes through $A$and $B$ cuts the y-axis at $D$.

Write down the co-ordinates of $D$.

( ........................ , ....................... )

$A$ is the point $(3,5)$ and $B$ is the point $(1,-7)$.
Find the equation of the line perpendicular to $AB$ that passes through the point $A$.
Give your answer in the form $y=mx+c$.

$y=$ .................................................

Find the equation of the line that is perpendicular to the line $y=2x-3$ and passes through the point $(0,2).$

The diagram shows a straight line $L$.

Find the equation of line $L$.

Find the equation of the line perpendicular to line $L$ that passes through $(9,3)$.

Write down the equation of the line parallel to line $l$ that passes through the point B.

The diagram shows the points C(–1, 2) and D(9, 7).
Find the equation of the line perpendicular to CD that passes through the point (1, 3).
Give your answer in the form  $y=mx+c$.  

$y$ = ...............................................

The line PQ has equation $y=3x-8$ and point P has co-ordinates (6, 10).
Find the equation of the line that passes through P and is perpendicular to PQ.
Give your answer in the form $y=mx+c$.

$y=$..............................................

Find the equation of the straight line that is perpendicular to the line  $y=\frac{1}{2}x+1$  and passes through the point $(1,3)$.

The point P has co-ordinates $\left(10,12\right)$ and the point Q has co-ordinates $\left(2,-4\right).$   Find

i) the co-ordinates of the mid-point of the line PQ,  

(....................... , .......................) [2]

ii) the gradient of the line PQ,  

 [2]

Find the equation of a line perpendicular to PQ that passes through the point $\left(2,3\right).$

C is the point (8, 14).

Write down the equation of the line perpendicular to line $l$ that passes through the point C.