Linear graphs

Question 1

What is the gradient and y-intercept in the equation:

y=x/3 - 8

Answer 1

Gradient= 1/3

y-intercept=(0,-8)

Question 2

What is the gradient and y-intercept in the equation:

y=9 - 0.1x

Answer 2

Gradient= -0.1

y-intercept= (0,9)

Question 3

What is the gradient and y-intercept in the equation:

2x+y=7

Answer 3

2x+y=7
-2x -2x
y=7-2x

Gradient= -2
y-intercept= (0,7)

Question 4

What is the gradient and y-intercept in the equation:

6x-85=y

Answer 4

Gradient= 6
y-intercept= (0,-85)

Question 5

What is the gradient and y-intercept in the equation:

x=y

Answer 5

Gradient=1
y-intercept=0

Question 6

What is the gradient and y-intercept in the equation:

-x=y

Answer 6

Gradient=-1
y-intercept=0

Question 7

Write the nth term rule for this quadratic sequence:

6,11,18,27,38,51

BETTER REVISION CAN BE FOUND ONLINE

Answer 7

11-6=5
18-11=7
7-5=2

Rule=n^2 +2n+3

BETTER REVISION CAN BE FOUND ONLINE

Question 8

What is the equation of the line:

(-5,10) , (-4,8) , (-3,6)…

Answer 8

y 8-10=-2
x -4-(-5)= 1
-2/1=-2

y= -2x

Question 9

What is the equation of the line:

(-5,14) , (-4, 12) , (-3,10)…(0,4)

IN EXAMS YOU WILL HAVE TO FIND THE Y-INTERCEPT YOURSELF.

Answer 9

y 12-14=-2
x -4-(-5)=1

-2/1=-2

y=4-2x

Question 10

What is the equation of the line:

(-5,2.5) , (-4,3) , (-3,3.5)…(0,5)

IN EXAMS YOU WILL HAVE TO FIND THE Y-INTERCEPT YOURSELF.

Answer 10

y 3-2.5=0.5
x -4 -(-5)=1

0.5/1=0.5

y=0.5x + 5