Free Printable straight lines by harvest uma

1.

P is the point (−2,3) and Q is the point (4,15). Find the gradient of the straight line PQ.

a)

$-2$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$2$

2.

$4y-3x=12$
Determine the x-intercept of the above straigt line.

a)

$-4$

b)

$-\frac{1}{4}$

c)

3

d)

12

3.

A vertical line cuts the x-axis at 4, what is the equation of the line

a)

$x=4$

b)

$y=4x$

c)

$y=4$

d)

$y=x+4$

4.

Find the equation of the straight line MN if its gradient is equal to 3 and the line passes through point
$\left(-2,5\right)$ .

a)

$y=2x+5$

b)

$y=-3x+11$

c)

$y=3x-11$

d)

$y=3x+11$

5.

Determine the point of intersection of the following straight lines
$y=-8$ and $y=-4x+12$ .

(a)

6.

A horizontal line cuts the Y axis at -3, the equation of the line is

a)

x = -3

b)

y = -3

c)

y = x - 3

7.

Which line has the equation

y = x - 2

a)

b)

c)

d)

8.

Select the correct graph for:

x + y = -2

a)

b)

c)

d)

9.

Determine the equation of straight line that passes through points K(0,6 ) and L(2, 0)

a)

y = 3x + 6

b)

y = -3x - 6

c)

y = -3x + 6

d)

y = 3x - 6

10.

The point A on the line
y = 3x - 7
has an x co-ordinate of 4.
What is the y co-ordinate of A?

a)

-4

b)

5

c)

0

d)

4

11.

P is the point (−2,3) and Q is the point (4,15). Find the slope of the straight line PQ.

a)

$-2$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$2$

12.

Two lines with slopes m1 and m2 is said to be perpendicular if

a)

m1=m2

b)

m1.m2=1

c)

m2.m1=-1

d)

none of these

13.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

14.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

15.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

16.

Straight lines $L1:\ 3x-2y+7=0\ ,$ $L2:\ 2x+3y-4=0\$ and $L3:\ 3x+2y+6=0$ are given. Which of the following must becorrect?
     I.   L1 // L2
     II.  L1 $\perp$   L2
     III. L2 $\perp$   L3

a)

I only

b)

II only

c)

I and III only

d)

None of the above

17.

Straight line $-5x+ky-1=0$ passes through A(1, -2). Find the value of k.

a)

-3

b)

-2

c)

2

d)

3

18.

the equation of a perpendicular line to y = $\frac{1}{2}x\ +4$ that passes through (0, -1) will have an equation =

a)

y = -2.x -1

b)

y = 2.x +1

c)

y = 2.x +1

d)

y = 2.x - 1

19.

The distance between the line 2.x -y + 3 = 0 and point

A= (-1; 4) is

a)

$\frac{3}{5}\sqrt{5}$

b)

$-\frac{3}{5}\sqrt{5}$

c)

$\frac{5}{3}\sqrt{5}$

d)

$\frac{3}{5}\sqrt{-5}$

20.

Two points A(-1, -4) and B(3, -6) are given. The equation of the perpendicular bisector of AB is

a)

$y=-2x-3$ .

b)

$y=2x-7$ .

c)

$y=-\frac{1}{2}x-\frac{9}{2}$ .

d)

$y=\frac{1}{2}x-\frac{11}{2}$ .

21.

The angle made by two lines are 135 degrees and 45 degrees, the two lines are

a)

Parallel

b)

Perpendicular

c)

Neither parallel nor perpendicular

d)

None of the above

22.

The angle made by two lines are 135 degrees and 45 degrees, the two lines are

a)

Parallel

b)

Perpendicular

c)

Neither parallel nor perpendicular

d)

None of the above

23.

If three points (x1,y1),(x2,y2) and (x3,y3) are collinear ,then

a)

$\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_3}{x_2-x_3}$

b)

$\frac{y_2-y_1}{x_2-x_1}=\frac{x_2-x_3}{y_2-y_3}$

c)

$\frac{y_3-y_1}{x_3-x_1}=\frac{x_2-x_3}{y_2-y_3}$

d)

none of the above

24.

What is the y-intercept in the equation

y= - 2x

a)

-2

b)

-2x

c)

0

d)

1

25.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

straight lines by harvest uma

Total questions: 25

Worksheet time: 15mins

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