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1dnl Equation of a straight line

Total questions: 26

Worksheet time: 19mins

Name
Class
Date
1.

For the straight line y = -2x + 3, what are the slope & the y-intercept ?

a)

Thje Slope is 2 and the y-intercept is -3.

b)

Thje Slope is -2 and the y-intercept is 3.

c)

Thje Slope is 3 and the y-intercept is -2.

d)

Thje Slope is -3 and the y-intercept is 2.

2.
What is the equation of the straight line shown in the diagram?
a)
y = 2x - 2
b)
y = -2x + 0.5
c)
y = - 0.5x + 2
d)
y = 0.5x - 2
3.
What is the equation of the following line?
a)
y = -(4/3)x + 2
b)
y = (4/3)x + 2
c)
y = -(3/4)x + 2
d)
y = (3/4)x + 2
4.
What is the equation of the following graph?
a)
y = -4x + 2
b)
y = 4x + 2
c)
y = -0.25x + 2
d)
y = 0.25x + 2
5.
For the straight line x - 2y = - 3, what are:
a) the slope
b) the y-intercept?
a)
Slope = 2 and y-intercept = -3
b)
Slope = ½ and y-intercept = 1½
c)
Slope = -½ and y-intercept = 1½
d)
Slope = ½ and y-intercept = -1½
6.
What is the equation of the straight line shown in the diagram?
a)
y = (4/3)x - 4
b)
y = -(3/4)x - 4
c)
y = -(4/3)x - 4
d)
y = -(4/3)x - 3
7.
What is the equation of the straight line shown in the diagram?
a)
y = 4x + 4
b)
y = -4x + 4
c)
y = 4
d)
x = 4
8.
What is the equation of the straight line shown in the diagram?
a)
y = -3
b)
x = -3
c)
y = -3x + 3
d)
y = -3x - 3
9.
What is the equation of the straight line shown in the diagram?
a)
y = -2.5x - 5
b)
y = 2.5x - 5
c)
y = -3x - 5
d)
y = 3x - 5
10.
What is the equation of the straight line shown in the diagram?
a)
y = -(5/3)x + 2.6
b)
y = (5/3)x + 2.6
c)
y = -0.6x + 2.6
d)
y = 0.6x + 2.6
11.

What does the "m" stand for in y=mx+p?

a)

slope

b)

x-intercept

c)

y-intercept

d)

gradient

e)

none of these answers

12.

Paul the plumber charges $25 for a service call. He then charges $100 an hour. Write a linear equation to model this situation.

a)

y = 100x

b)

y = 25x

c)

y = 25x + 100

d)

y = 75x + 100

e)

y = 100x + 25

13.

What is the equation of the line passing through points (1,1) and (3,-5).

a)

y = -3x + 4

b)

y = 3x - 4

c)

y = -3x - 4

d)

y = 3x + 4

e)

that's impossible !

14.

Write an equation of a straight line which have a slope of -1/2 and pass through (-2, 4).

a)

y = -3/2x + 3

b)

y = 3/2x + 3

c)

y = -1/2x + 3

d)

y = 3x - 3/2

e)

y = -2.25x - 1/2

15.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

d)

gradient

e)

none

16.

What is the equation for the line that passes through the points (4,2) and (0,6)?

a)

y = x + 6

b)

y = -2x + 2

c)

y = -x - 6

d)

y = -x + 6

e)

y = 4x

17.

Write the equation of a line that contains the point (3, 5) and has a slope of 3 in slope-intercept form.

a)

y = 3x - 4

b)

y = 3x+ 4

c)

y = 1/3x + 6

d)

y = 1/3x + 4

e)

y = 3x + 5

18.

Which of these represents slope-intercept form line equation ?

a)

y - y1 = m(x-x1)

b)

Ax + By = C

c)

y = mx + b

d)

a2+b2=c2

e)

y = ax + b

19.

When Sue bought a candle, it was 10 inches tall. It burns at a rate of 1/4 inches per hour. What is the equation of the line in slope-intercept form that models this situation?

a)

y = -1/4x - 10

b)

y = -1/4x + 10

c)

y = 1/4x + 10

d)

y = 1/4x -10

e)

y = 10x + 1/4

20.

What is the slope of a vertical line?

a)

0

b)

1

c)

y

d)

x

e)

undefined

21.

What is the slope of a horizontal line?

a)

0

b)

1

c)

y

d)

x

e)

undefined

22.

What is the slope of the equation y = -3x + 4 ?

a)

-3

b)

-4

c)

-3/4

d)

4

e)

3

23.

What is the slope between the points

(-3, -4) & (7, 6)?

a)

0

b)

-1

c)

2

d)

1

e)

undefined

24.

Write an equation in Slope-Intercept Form for the given table!

a)

y = -4x+6

b)

y = 2x-2

c)

y = 4x-2

d)

y = 4x+6

e)

y = 2x + 4

25.

Determine if the table represents a linear or nonlinear function.

a)

Linear

b)

Nonlinear

c)

impossible to answer

26.

Is function represented by the table linear or nonlinear?

a)

linear

b)

impossible to answer

c)

nonlinear