Free Printable 1.2a Straight lines

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.

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)

$y=3x+11$

3.

Determine the equation of straight line with a gradient of 2 and passes through point $A\left(2,-3\right)$

a)

$y=2x+7$

b)

$y=2x-7$

c)

$y=2x+1$

d)

$y=2x-1$

4.

Given that straight line AB passes through point $C\left(3,\ 8\right)$ and $D\left(2,\ -2\right)$ . What is straight line AB?

a)

$y=10x-22$

b)

$y=10x+22$

c)

$y=6x-10$

d)

$y=6x+10$

5.

Two points A(-2, 4) and B(-6, 2) are given. P is the mid-point of line segment AB. Find the equation of the straight line with the slope of -2 passing through P.

a)

$y=-2x-5$

b)

$y=-2x$

c)

$y=-2x+7$

d)

$y=-2x+11$

6.

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)

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

7.

The equation of a straight line is 2x +5y =7. Find the gradient of the line

a)

-2

b)

-5/2

c)

-2/5

d)

5

8.

The equation of a straight line is

3x - 2y + 8 = 0. Find the y -intercept of the line

a)

-8

b)

4

c)

-8/3

d)

8/3

9.

What is the midpoint of the points (-1, 9) and (-6, -7)

a)

(-3, 1)

b)

(-3.5, 1)

c)

(-4, 1)

d)

(-4, 0)

10.

What is the midpoint for the coordinates (-2, 2) and (3, 0)?

a)

( .5, 1)

b)

( .5, 1 )

c)

(1, .5)

d)

(1, 1)

11.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

12.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

13.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

14.

Find the distance between (2, -75) and (10, 235).

a)

305.5

b)

308.6

c)

310.1

d)

315.3

15.

$y=mx+c$
m refers to the

a)

gradient

b)

X-intercept

c)

coordinate

d)

y-intercept

16.

In the equation y = m.x + c, c is

a)

the slope

b)

the x-intercept point

c)

the y-intercept point

d)

the root

1.2a Straight lines

Total questions: 16

Worksheet time: 19mins

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