Coordinates & Straight Line Graphs (Cambridge International IGCSE Maths): Exam Questions

Find the gradient of line$L$.

Write down the equation of line $L$ in the form $y=mx+c$.

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

Write down the gradient of the line $y=2x-3$.

Complete the table of values for $y=2x-3$

Extract:

Complete the table of values for y = 2x - 3

| x | -2 | 0 | 3 | | y | | | |

On the grid, draw the graph of $y=2x-3$ for negative 2 less-than or slanted equal to x less-than or slanted equal to 3.

The line $L$ is shown on the grid.

Find the gradient of the line $L$.

Extract:

The line L is shown on the grid. Find the gradient of the line L.

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

The diagram shows a point $P$ and a line $L$.

Write down the co-ordinates of point $P$.

Extract:

The diagram shows a point P and a line L.

Find the gradient of line $L$.

Extract:

Find the gradient of line ![L].

Write down the equation of line $L$ in the form $y=mx+c$.

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

For the line $y=4x-6$, write down the gradient,

Extract:

y = 4x - 6

the $y$-intercept.

The point $A$ has coordinates (2, 3). The point $B$ has coordinates (6, 8).

$M$ is the midpoint of the line $AB$. Find the coordinates of $M$.

A is the point (2, 1) and B is the point (9, 4).

Find the length of AB.

C is the point (8, 14).

Calculate the length of AC.

Extract:

C is the point (8, 14).

Find the co-ordinates of the mid-point of BC.

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

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

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

i) Write down the coordinates of point $A$.

ii) On the grid, plot the point (2, -3).

iii) The line $L$ is shown on the grid.

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

$y=$...............................[2]

Find the co-ordinates of the point where the line $y=3x-8$ crosses the $y$-axis.

Line $L$ is drawn on the grid.

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

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

A line, $M$, has the equation $y=8x+3$.

Write down the equation of the line parallel to line $M$ that passes through the point (0, 6).

$A$ is the point $(2,7)$ and $B$ is the point $(--4,11)$.

Find the coordinates of the midpoint of the line $AB$.

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

The point* *$A$ has coordinates (5, −4) The point $B$ has coordinates (13, 1)

Work out the coordinates of the midpoint of $AB$.

A is the point (7, 2) and B is the point (−5, 8).

Calculate the length of AB.

The coordinates of P are $(-3,8)$ and the coordinates of Q are $(9,-2)$.

Calculate the length PQ.

$A$ is the point $(8,5)$ and $B$ is the point $(-4,1)$.

Calculate the length of $AB.$

Extract:

A is the point (8, 5) and B is the point (-4, 1).

Find the co-ordinates of the midpoint of $AB.$

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

Calculate the length of AB.

Line $L$ is drawn on the grid.

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

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

Write down the equation of the line parallel to $y=5x+6$ that passes through (0, -7).

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

A straight line, $l$, has equation $y=5x+12$

Write down the gradient of line $l$.

Extract:

A straight line, l, has equation y equals 5 x plus 12

Find the coordinates of the point where line $l$ crosses the $x$-axis.

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

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

Extract:

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

On the grid, draw a line that is perpendicular to line $L$.

The line $L$ is shown on the grid.

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

y = ...................................................

The equation of a different line is $y=3x-4$.

i) Write down the gradient of this line.

ii) Write down the co-ordinates of the point where this line crosses the $y$˗axis.

On the grid, draw the graph of $y=-2x+1$ for negative 4 less-than or slanted equal to x less-than or slanted equal to 5.

i) Write down the co-ordinates of the point where the line $y=6x-3$ crosses the $y$-axis.

ii) Write down the equation of the straight line that

• passes through the origin

and

• is parallel to $y=6x-3$.

i) On the grid, draw the line through the point $( - 3 , - 2 )$ that is perpendicular to the $y$-axis.

ii) On the grid, draw the line $y=-2x$ .

Line $L$ is drawn on the grid.

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

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

The points (9, $a$) and ($b$, 3) lie on the line $y=\frac{2}{3}x-7.$

Work out the value of

i) $a$,

$a=$.......................... [2]

ii) $b.$

$b=$.......................... [2]

$A,B,C$ and $D$ are four equations of straight line graphs.

i) Write down the letter of the graph that

a) passes through the point $( 1 , - 1 )$,

b) has a $y$- intercept of 4,

c) has a gradient of -4.

ii) The point $( p , - 26 )$ lies on the line $y=-3x+4$.

Work out the value of $p$.

$p$ = ................................ [2]

A is the point $(2,3)$ and B is the point $(7,-5)$.

Find the co-ordinates of the midpoint of AB.

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

A rhombus $ABCD$ has a diagonal $AC$ where $A$ is the point $(-3,10)$ and C is the point $(4,-4).$

Calculate the length $AC.$