Linear Graphs (Edexcel GCSE Maths: Foundation)

On the grid below, draw the graph of    for values of  from  to .

Show that the point  lies on the line 

Find the equation of line in the form .

..........................

i) Write down the coordinates of point .

[1]

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

[1]

iii) The line is shown on the grid.

Find the equation of the line L in the form .

...............................[2]

Find the co-ordinates of the point where the line  crosses the -axis.

Line  is drawn on the grid.

Find the equation of line 
Give your answer in the form 

............................. 

A line, , has the equation .

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

Complete the table of values for     

On the grid, draw the graph of    

Use your graph to find the value of when 

Write down the equation of the line parallel to that passes through (0, -7).

..................................

A straight line, , has equation

Write down the gradient of line .

Find the coordinates of the point where line crosses the -axis.

Find the equation of line in the form 

= ..................................................

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

The line is shown on the grid.

Find the equation of the line in the form 

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

The equation of a different line is .

i) Write down the gradient of this line.

[1]

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

[1]

On the grid, draw the graph of  for .

i) Write down the co-ordinates of the point where the line crosses the -axis.

[1]

ii) Write down the equation of the straight line that

• passes through the origin

   and

• is parallel to .

[1]

Line  is drawn on the grid.

Find the equation of line 
Give your answer in the form 

............................. 

The points (9, ) and (, 3) lie on the line 

Work out the value of

i) ,

.......................... [2]

ii)

.......................... [2]

and  are four equations of straight line graphs.

i) Write down the letter of the graph that

a) passes through the point ,

[1]

b) has a - intercept of 4,

[1]

c) has a gradient of -4.

[1]

ii) The point  lies on the line .
Work out the value of .

 = ................................ [2]