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Level 1
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Level 4
Level 5
Gradient and intercept
13 questions
Lesson
Not started
Mark as done
The straight line through the points
(
2
,
k
)
(2, k)
(
2
,
k
)
and
(
5
,
13
)
(5, 13)
(
5
,
13
)
has gradient 4.
Work out the value of
k
k
k
.
●●●●●
Level 5
3 marks
Start
→
Mark as done
Show that the points
A
(
−
2
,
1
)
A(-2, 1)
A
(
−
2
,
1
)
,
B
(
1
,
7
)
B(1, 7)
B
(
1
,
7
)
and
C
(
3
,
11
)
C(3, 11)
C
(
3
,
11
)
lie on the same straight line.
●●●●●
Level 5
3 marks
Start
→
Finding the equation of a line
16 questions
Lesson
Not started
Mark as done
A straight line has equation
x
+
2
y
=
8
x + 2y = 8
x
+
2
y
=
8
(a)
Find the gradient of the line.
(b)
Write down the coordinates of the point where the line crosses the
y
y
y
-axis.
●●●●●
Level 5
3 marks
Start
→
Mark as done
A straight line crosses the
x
x
x
-axis at
(
4
,
0
)
(4, 0)
(
4
,
0
)
and the
y
y
y
-axis at
(
0
,
6
)
(0, 6)
(
0
,
6
)
.
Find the equation of the line.
●●●●●
Level 5
3 marks
Start
→
Mark as done
A
B
D
L
O
x
y
In the diagram
A
A
A
is the point
(
0
,
10
)
(0, 10)
(
0
,
10
)
B
B
B
is the point
(
15
,
0
)
(15, 0)
(
15
,
0
)
D
D
D
is the point on
A
B
AB
A
B
such that
A
D
:
D
B
=
2
:
3
AD : DB = 2 : 3
A
D
:
D
B
=
2
:
3
The line
L
L
L
passes through
D
D
D
.
The gradient of
L
L
L
is
2.5
2.5
2.5
L
L
L
passes through the point with coordinates
(
−
3
,
f
)
(-3, f)
(
−
3
,
f
)
Show that
f
<
−
16
f < -16
f
<
−
16
(5 marks)
●●●●●
Level 5
5 marks
Start
→
Parallel and perpendicular lines
18 questions
Lesson
Not started
Mark as done
Find the equation of the straight line that is perpendicular to
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
and passes through the point
(
4
,
1
)
(4, 1)
(
4
,
1
)
●●●●●
Level 5
3 marks
Start
→
Mark as done
Show that the lines
y
=
3
x
−
2
y = 3x - 2
y
=
3
x
−
2
and
x
+
3
y
=
6
x + 3y = 6
x
+
3
y
=
6
are perpendicular.
●●●●●
Level 5
3 marks
Start
→
Mark as done
The line
L
1
L_1
L
1
has equation
y
=
5
−
2
x
y = 5 - 2x
y
=
5
−
2
x
The line
L
2
L_2
L
2
is parallel to
L
1
L_1
L
1
and passes through the point
(
3
,
4
)
(3, 4)
(
3
,
4
)
.
Find the coordinates of the point where
L
2
L_2
L
2
crosses the
y
y
y
-axis.
●●●●●
Level 5
3 marks
Start
→
Mark as done
Find the equation of the straight line that is perpendicular to
3
x
+
y
=
7
3x + y = 7
3
x
+
y
=
7
and passes through the point
(
3
,
2
)
(3, 2)
(
3
,
2
)
●●●●●
Level 5
3 marks
Start
→
Mark as done
The line
L
1
L_1
L
1
has equation
y
=
4
x
−
1
y = 4x - 1
y
=
4
x
−
1
The line
L
2
L_2
L
2
is perpendicular to
L
1
L_1
L
1
and passes through the point
(
8
,
0
)
(8, 0)
(
8
,
0
)
.
Find the coordinates of the point where
L
2
L_2
L
2
crosses the
y
y
y
-axis.
●●●●●
Level 5
3 marks
Start
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