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Linear Equations: Slope-Intercept, Standard, & Point-Slope

Total questions: 35

Worksheet time: 3hrs 59mins

Name
Class
Date
1.

Identify the formula used to find slope.

a)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

b)

m=y1−y2x1−x2m=\frac{y_1-y_2}{x_1-x_2}

2.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

3.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

4.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
5.
What is the slope of 
6x-y=9?
a)
9/6
b)
-9
c)
6
d)
-6
6.

Write the slope intercept form of the equation x - 3y = 6

a)

y = -x - 2

b)

y = x + 2

c)

y = 1/3x - 2

d)

y = -1/3x + 2

7.

Write the standard form of the equation for the graph of this line.

a)

4x + 4y = -1

b)

4x + 4y = 1

c)

x/4 + y/4 = 1

d)

x + y = -4

8.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

9.

What is this formula?

 y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)  

a)

point slope

b)

standard form

c)

slope

d)

slope-intercept

10.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
11.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
12.

Which of the following is the equation of the line that has a slope of 3 and passes through the point (0, 9)?

a)

y = -3x + 12

b)

y = 3(x + 9)

c)

y = 3x + 9

d)

y = 3x - 3

13.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
14.
What is the point in the following equation?
y-4 = 1/5 ( x-3)
a)
(3,4)
b)
(1/5,0)
c)
(-3,-4)
d)
(4,3)
15.
What is the point given in the following equation?
y-2= 3(x+1)
a)
(1,3)
b)
(-1,2)
c)
(1,-2)
d)
(-2,1)
16.

What two things do you NEED to write an equation in point-slope form?

a)

a slope and a y-intercept

b)

a slope and a x-intercept

c)

a slope and a point

d)

two points on the line

17.
Slope = 4  Point (-2, 1)
a)
y = 4x +9
b)
y=4x-7
c)
y=4x+7
d)
y=4x-9
18.
slope 6
point (1,8)
a)
y = 6x + 2
b)
y = 6x - 2
c)
y = -3/8x + 2
d)
y = 3/8x + 2
19.
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)
20.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
21.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
22.

What is the slope of the equation y - 2 = -6( x + 6)

a)

2

b)

6

c)

-2

d)

-6

23.

Given y + 6 = 10( x - 9) , what is the point used to write this equation?

a)

(10, 9)

b)

(6, -9)

c)

(-6, 9)

d)

(9, -6)

24.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
25.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
26.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
27.

What is y intercept of the equation y - 3 = 4(x - 0)

a)

4

b)

-3

c)

3

d)

-4

28.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
29.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
30.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
31.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
32.
Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
33.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
34.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

35.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

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