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Equation of a Line

Total questions: 15

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

Any point through which a line ......................., will ....................... satisfy the equation of that line.

a)

passes, always

b)

does not pass, always

c)

passes, not

d)

does not pass, sometimes

2.

Draw a pair of (i) parallel lines and (ii) intersecting lines.

3.

Which of the following points lie on the line x-y+4=0?

a)

(0,5)

b)

(1,5)

c)

(7,-3)

d)

(3,7)

4.

The line 3x = y + 1 bisects the line segment joining A(-2,3) and B(4,1)?

a)

True

b)

False

5.

Which of the following is a linear line?

a)

First figure

b)

Second figure

c)

Third figure

d)

None

6.

Find the slope given the points (-3,-5) and (1,2).

a)

  74 \frac{7}{4}\   

b)

32 \frac{3}{2}\  

c)

74 -\frac{7}{4}\  

d)

32 -\frac{3}{2}\  

7.

Three or more points are said to be (a)   if there is a line containing all these points.

8.

What type of inclinations do the following two figures have?

(a)  

9.

For what value of k will the point (4, -k) lie on the line, 9x+4y=12?

(a)  

10.

Find the slope given the points (q,-p) and (p,-q).

a)

  qppq\frac{-q-p}{p-q}   

b)

q+ppq\frac{-q+p}{p-q}  

c)

qpp+q\frac{-q-p}{p+q}  

d)

 q+pp+q\ \frac{-q+p}{p+q}  

11.

The slope of a line is 45-\frac{4}{5}  

(i) The slope of it's parallel =

(ii) The slope of it's perpendicular =

4 lines
12.

The points (A, 4), (1, -3) and (5, 8) are Collinear. What is A?

(a)  

13.

Without using the distance formula, show that the points P(4,-2), Q(-4,4), and R(10, 6) are the vertices of a right-angled triangle.

4 lines
14.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 21.

a)

y=12x-21

b)

y=12x+21

c)

y=21x+12

d)

x=21x-12

15.

https://youtube.com/clip/Ugkx7fWRKaFbS9TZCjJyCu6tsKCFA6LW0CyC

Watch this video and answer the question.

Which of the following could be the equation for this line in the figure?

a)

y = -7/5x - 3

b)

y = 5/7x + 3

c)

y = -5/7x - 3

d)

y = 7/5x - 3