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Straight-line graphs
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47 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Gradient and intercept
13 questions
Lesson
Not started
Mark as done
Work out the gradient of the straight line passing through the points
(
−
2
,
7
)
(-2, 7)
(
−
2
,
7
)
and
(
4
,
−
5
)
(4, -5)
(
4
,
−
5
)
●●●●
●
Level 4
2 marks
Start
→
Mark as done
The line
L
L
L
has equation
y
=
3
x
+
2
y = 3x + 2
y
=
3
x
+
2
(a)
Show that the point
(
5
,
17
)
(5, 17)
(
5
,
17
)
lies on
L
L
L
.
(b)
Find the coordinates of the point where
L
L
L
crosses the
x
x
x
-axis.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The straight line
y
=
m
x
+
c
y = mx + c
y
=
m
x
+
c
passes through the points
(
0
,
−
2
)
(0, -2)
(
0
,
−
2
)
and
(
4
,
6
)
(4, 6)
(
4
,
6
)
.
Find the values of
m
m
m
and
c
c
c
.
●●●●
●
Level 4
3 marks
Start
→
Finding the equation of a line
16 questions
Lesson
Not started
Mark as done
Find the equation of the straight line with gradient
−
3
-3
−
3
that passes through the point
(
2
,
5
)
(2, 5)
(
2
,
5
)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The diagram shows the straight line
L
L
L
.
-2
-1
1
2
3
4
5
-2
2
4
6
8
10
12
14
(1, 5)
(3, 11)
L
x
y
Diagram NOT accurately drawn
The points
(
1
,
5
)
(1, 5)
(
1
,
5
)
and
(
3
,
11
)
(3, 11)
(
3
,
11
)
lie on
L
L
L
.
Find the equation of
L
L
L
.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
A straight line has equation
2
y
=
6
x
+
4
2y = 6x + 4
2
y
=
6
x
+
4
Write down the gradient of the line.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
Find the equation of the straight line with gradient
−
2
-2
−
2
that passes through the point
(
3
,
4
)
(3, 4)
(
3
,
4
)
●●●●
●
Level 4
2 marks
Start
→
Mark as done
Find the equation of the straight line passing through the points
(
2
,
3
)
(2, 3)
(
2
,
3
)
and
(
6
,
11
)
(6, 11)
(
6
,
11
)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
A straight line has equation
3
y
=
9
x
−
6
3y = 9x - 6
3
y
=
9
x
−
6
(a)
Write down the gradient of the line.
(b)
Write down the coordinates of the point where the line crosses the
y
y
y
-axis.
●●●●
●
Level 4
2 marks
Start
→
Parallel and perpendicular lines
18 questions
Lesson
Not started
Mark as done
Write down the equation of the straight line that is parallel to
y
=
2
x
−
1
y = 2x - 1
y
=
2
x
−
1
and passes through the point
(
0
,
7
)
(0, 7)
(
0
,
7
)
●●●●
●
Level 4
2 marks
Start
→
Mark as done
The line
L
L
L
has equation
y
=
4
x
−
3
y = 4x - 3
y
=
4
x
−
3
Write down the gradient of a line
perpendicular
to
L
L
L
.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
The line
L
L
L
has equation
y
=
1
2
x
+
4
y = \tfrac{1}{2}x + 4
y
=
2
1
x
+
4
(a)
Write down the gradient of a line perpendicular to
L
L
L
.
(b)
Find the equation of the line perpendicular to
L
L
L
that passes through the point
(
2
,
1
)
(2, 1)
(
2
,
1
)
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Line
A
A
A
has equation
y
=
2
x
+
1
y = 2x + 1
y
=
2
x
+
1
Line
B
B
B
has equation
2
y
=
4
x
−
3
2y = 4x - 3
2
y
=
4
x
−
3
Are lines
A
A
A
and
B
B
B
parallel? You must show your working.
●●●●
●
Level 4
2 marks
Start
→
Mark as done
The straight line
L
1
L_1
L
1
has equation
3
y
=
12
x
−
5
3y = 12x - 5
3
y
=
12
x
−
5
The straight line
L
2
L_2
L
2
is perpendicular to
L
1
L_1
L
1
and passes through the point
(
8
,
1
)
(8, 1)
(
8
,
1
)
.
Find an equation of
L
2
L_2
L
2
.
Give your answer in the form
a
x
+
b
y
+
c
=
0
ax + by + c = 0
a
x
+
b
y
+
c
=
0
, where
a
a
a
,
b
b
b
and
c
c
c
are integers. (4 marks)
●●●●
●
Level 4
4 marks
Start
→
Mark as done
The equation of line
L
1
L_1
L
1
is
y
=
−
4
x
+
3
y = -4x + 3
y
=
−
4
x
+
3
The equation of line
L
2
L_2
L
2
is
8
y
+
k
x
−
3
=
0
8y + kx - 3 = 0
8
y
+
k
x
−
3
=
0
L
1
L_1
L
1
is perpendicular to
L
2
L_2
L
2
Find the value of
k
k
k
.
You must show all your working.
(3 marks)
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●
Level 4
3 marks
Start
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