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4.3 Practice Problems

Total questions: 20

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

2.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
3.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
4.
Which of these represents standard form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
5.

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

a)

y = 3x - 4

b)

y = - 3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

6.

( 1, 2 ) and ( - 2, 5 )

a)

y = x + 3

b)

y = - x + 3

c)

y = - x + 1

d)

y = 3x + 3

7.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

8.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

9.
Write an equation in slope intercept form using the points:
(0,3) and (2,-1)
a)
y = -2x + 3
b)
y = 2x + 3
c)
y = 2x - 3
d)
y = -2x - 3
10.

Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )

a)

y = 2x - 5

b)

y = 1/2x - 5

c)

y = 2x + 5

d)

y = 1/2x + 5

11.

Given the table, what is the equation of the line in point slope form?

a)

y - 12 = ½(x - 6)

b)

y - 4 = ½(x - 8)

c)

y + 2 = ½(x + 4)

d)

y + 6 = ½(x +12)

12.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
13.

Which is the equation of the line that passes through the points (2, -8) and (5, 4)?

a)

y = 4x - 8

b)

y = 4x - 16

c)

y = 4x + 16

d)

y = -4x - 12

14.
Write the equation of the line through the points (7, 8) and (-12, -11).
a)
y = x + 1
b)
y = x + 15
c)
y = -x - 1
d)
y = -x - 23
15.

Find the equation of a line that passes through the points: (−3, −5) and (3, −1)\left(-3,\ -5\right)\ and\ \left(3,\ -1\right)

a)

y=23x−3y=\frac{2}{3}x-3

b)

y=23x−1y=\frac{2}{3}x-1

c)

y=−23x−2y=-\frac{2}{3}x-2

d)

y=23x+3y=\frac{2}{3}x+3

16.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

2

17.

What is the equation of the line that passes through (-1, -4) and (-2, -1)

a)

y = 2x - 1

b)

y = -2x - 4

c)

y = 3x - 7

d)

y = -3x - 7

18.

Write the equation of a line that passes through the given points ( 2,2) and (0,4)

a)

y = -x

b)

y = x

c)

y = x - 4

d)

y = -x + 4

19.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

20.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16