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Quiz 9.1.1@2 - Equation of Straight Line

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

 y=mx+cy=mx+c  

 mm is gradient
 cc is y-intercept

a)

True

b)

False

2.

How to find gradient, m?

(I)  m=yinterceptxinterceptm=-\frac{y-intercept}{x-intercept}  
(II)   m=y2y1x2x1m=\frac{y_2-y_1}{x_2-x_1}  

a)

I

b)

II

c)

I and II

3.

The diagram above shows a straight line.

Find the gradient of the straight line.

a)

12-\frac{1}{2}

b)

2-2

c)

12\frac{1}{2}

d)

22

4.

Find the y-intercept of the straight line 6x+3y18=06x+3y-18=0 .

a)

 2-2  

b)

 22  

c)

 6-6  

d)

 66  

5.

 xa+yb=1\frac{x}{a}+\frac{y}{b}=1  

 aa is x-intercept
 bb is y-intercept

a)

True

b)

False

6.

State the x-intercept of the straight line x5+y3=1\frac{x}{5}+\frac{y}{3}=1 .

a)

3

b)

4

c)

5

d)

6

7.

State the gradient of the straight line 7xy=87x-y=-8 .

a)

 2-2  

b)

 44  

c)

 77  

d)

 8-8  

8.


Determine the y-intercept of the following equation of the straight line.
 4y6x+16=04y-6x+16=0 

a)

 44  

b)

 4-4  

c)

 83\frac{8}{3}  

d)

 83-\frac{8}{3}  

9.

The diagram below shows a straight line with gradient of 13\frac{1}{3} .


Find the x-intercept of the straight line.

a)

 00  

b)

 4-4  

c)

 22  

d)

 6-6  

10.

Which of the following is the equation in the form of y=mx+cy=mx+c  for  3x+6y=123x+6y=-12 .

a)

 y=3x12y=3x-12  

b)

 y=3x+12y=-3x+12  

c)

 y=12x2y=-\frac{1}{2}x-2  

d)

 y=12x+2y=-\frac{1}{2}x+2  

11.

Find the gradient of the straight line y=14x+7y=\frac{1}{4}x+7 .


a)

 14\frac{1}{4}  

b)

 77  

c)

 11  

d)

 74\frac{7}{4}  

12.

Find the gradient of the straight line y=7x4y=7x-4 .

a)

 77  

b)

 44  

c)

 4-4  

d)

 11  

13.

y-intercept = ?

a)

7

b)

5

c)

0

d)

2

14.

x-intercept = ?

a)

4-4

b)

2-2

c)

22

d)

44

15.

Change the equation of straight line 3x5y=153x-5y=15  to the form of  xa+yb=1\frac{x}{a}+\frac{y}{b}=1  .

a)

 x5y3=1\frac{x}{5}-\frac{y}{3}=1  

b)

 y=35x3y=\frac{3}{5}x-3  

c)

 3x5y=153x-5y=15  

16.

Change the equation of straight line x2+y4=1-\frac{x}{2}+\frac{y}{4}=1  to the form of  ax+by=cax+by=c  .

a)

 2x+y=4-2x+y=4  

b)

 y=2x+4y=2x+4  

c)

 x2+y4=1-\frac{x}{2}+\frac{y}{4}=1