Edinburgh College Algebra Line Equations Question

STRAIGHT LINE00. Oos
EXAM QUESTIONS
Corse) 00.0i to u to. boro
1.
A straight line has the equation 3x – 2y = – 4.
–
Find the gradient and y-intercept of the line.
2.
The line AB passes through the points (0,6) and (8,0) as shown in the diagram.
onlar
AI
B
xelbesoronoluobo
VAS
Find the equation of the line AB.
3.
A straight line has equation 2y + 3x=8. Which line of these gives its gradient
and y-intercept? Show working to explain your answer.
A.
3 and (0,8)
B.
– 3 and (0.8)
C.
and (0,4)
D.
– and (0,4)
Pegasys 2012
Find the gradient and y-intercept of the straight line with equation
3x – 4y = 12.
5.
The diagram below shows the line with equation 3y = x+12.
3y = x+12
O
Find the coordinates of P, the point where the line cuts the y-axis.
6.
Find the equation of the line shown in the diagram below.
YOBOT
y
7
6
5
4
N
1
0
-5 4 3 -2 -1
1 2 3 4 5
х
x
-2.
-5
7.
A line has equation 2y + 6x = 9. Find its gradient and y – intercept.
VIVA
© Pegasys 2012
8.
A line has equation 3y + 4x = 15. Make a sketch of this line on plain paper
showing clearly where it crosses the y-axis.
9.
The relationship between variables v and T produces a straight line graph as shown below.
The line passes through the point P(24,16) as shown.
yonbow
TA
svobow
otros
P(24,16)
rin
co totam
10
0
rota.
(a)
Find the gradient of the line.
(b)
Hence, write down the equation of the line in terms of v and T.
10.
A straight line has equation 3y – 2x = 6. Find the gradient and y-intercept of the line.
–
11.
A straight line has equation 3x – 2y = 8. Find the gradient and y-intercept of the line.
12.
Find the equation of the straight line which passes through the point A(3,-2) and is
parallel to the line 3y – 2x = 5
13.
(a)
A straight line has equation 4y – 3x = 6.
State the gradient and the y-intercept point for this line.
(b)
Write down the equation of the line with gradient – 1/2 which has the same
y-intercept point as the line above.
14.
(a)
A straight line has equation 3y – 4x = 12.
State the gradient and the y-intercept point for this line.
(b)
Write down the equation of the line with gradient – 34 which has the same
y-intercept point as the line above.
© Pegasys 2012