Linear Graphs (Edexcel GCSE Maths: Foundation): Exam Questions

On the grid below, draw the graph of  $y=5-2x$  for values of $x$ from $-2$ to $4$.

Show that the point $\left(4,11\right)$ lies on the line  $y=3x-1$

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

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

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

[1]

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

[1]

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).

On the grid, draw the graph of $y=3x-1$ for values of $x$ from –2 to 2

Write down the gradient of a line with equation $3x+2y=12$.

A pond is filled up with water from a hosepipe.

The graph show the depth, $d$ cm, of water in the pond after $t$ minutes.

Explain what the $y$-intercept of the graph represents.

Find the rate, in cm per minute, at which the pond is filled up.

Line L is drawn on the grid below.

Find the equation for the straight line L.

Give your answer in the form $y=mx+c$

Here are the equations of four straight lines.

Line A $y=5x-2$

Line B $5y=x-2$

Line C $y-5x=2$

Line D $y=2-5x$

Two of these lines are parallel.

Write down the two parallel lines.

Complete the table of values for  $y=2-\frac{3}{2}x$   

On the grid, draw the graph of  $y=2-\frac{3}{2}x$  

Use your graph to find the value of $x$ when  $y=-3.4$

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 $l$.

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

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

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

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.

[1]

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

[1]

On the grid, draw the graph of $y=-2x+1$ for $-4⩽x⩽5$.

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

[1]

ii) Write down the equation of the straight line that

• passes through the origin

   and

• is parallel to $y=6x-3$.

[1]

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 $\left(1,-1\right)$,

[1]

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

[1]

c) has a gradient of -4.

[1]

ii) The point $\left(p,-26\right)$ lies on the line $y=-3x+4$.
Work out the value of $p$.

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