Straight Line Graphs
40 min
33 marks
1.
y
5
l
x
0
(a)
10
NOT TO SCALE
Calculate the gradient of the line l.
Answer (a) …………….……….…………
[2]
(b)
Write down the equation of the line l.
Answer (b) …………….……….…………
[2]
2.
A straight line passes through two points with co-ordinates (6, 8) and (0, 5).
Work out the equation of the line.
Answer ……….….…………….
[3]
1
3.
(a)
The equation of a straight line is y = mx + c. Which letter in this equation represents the
gradient?
Answer(a) ………….……………………
[1]
(b)
Write down the equation of the line shown on the grid below.
y
12
10
8
6
4
2
–4
–3
–2
–1
0
1
2
3
4
x
–2
–4
Answer (b) ………………….……………
[2]
Complete the table of values for y = 12 – x2.
(c)
x
–4
–3
y
–4
3
–2
–1
0
11
1
2
11
8
3
4
–4
[3]
(d)
On the grid above, draw the graph of y = 12 – x2
[3]
(e)
Write down the coordinates of the points of intersection of the straight line with your
curve.
Answer (e) (……., …….) and (……., …….))
[2]
4.
Find the co-ordinates of the mid-point of the line joining the points A(2, –5) and B(6, 9).
Answer (………… , ……………)
[2]
2
5.
Find the co-ordinates of the mid-point of the line joining the points A(4, –7) and B(8, 13).
Answer (…………… , ……………)
[2]
6.
Write down the equation of the straight line through (0, –3) which is parallel to y = 2x + 3.
Answer y = …………………….
[2]
7.
The line with equation y = 2x – k passes through the point (4, 0).
Work out the value of k.
Answer k = ………..……………
[2]
3
8.
y
y=
+
2x
5
A
O
C
x
B
NOT TO SCALE
The distance AB is 11 units.
(a)
Write down the equation of the line through B which is parallel to y = 2x + 5.
Answer (a) ...................................
[2]
(b)
Find the co-ordinates of the point C where this line crosses the x axis.
Answer (b) (............... , ...............)
[1]
9.
The equation of a straight line can be written in the form 3x + 2y – 8 = 0.
(a)
Rearrange this equation to make y the subject.
Answer (a) y = ……...…………
[2]
(b)
Write down the gradient of the line.
Answer (b) ………….…………
[1]
(c)
Write down the co-ordinates of the point where the line crosses the y axis.
Answer (c) (…….… , .……..…)
[1]
4