Free Printable Point- Slope and Standard Form

Worksheets

Point- Slope and Standard Form

Total questions: 46

Worksheet time: 11hrs 48mins

Name

Class

Date

Write an equation of a line in point-slope form with a slope of 3 that goes through (4, 6)

y+6=3(x+4)

y+4=3(x+6)

y-4=3(x-6)

y-6=3(x-4)

Write an equation of a line in point-slope form with a slope of -2 that goes through (-1, 6)

y-6=-2(x-1)

y-6=-2(x+1)

y+1=-2(x-6)

y-1=-2(x+6)

Write an equation of a line in point-slope form with a slope of -1/2 that goes through (-4, -7)

y-7=-1/2(x-4)

y+7=-1/2(x-4)

y+4=-1/2(x+7)

y+7=-1/2(x+4)

Write an equation of a line in point-slope form with a slope of 2 that goes through (1, -2)

y+2=2(x-1)

y+2=2(x+1)

y-1=2(x+2)

Write an equation of a line in point-slope form with a slope of 6 that goes through (11, 5)

y-5=6(x-11)

y-11=6(x-5)

y+5=6(x+11)

y+11=6(x+5)

Write an equation of a line in point-slope form with a slope of 7 that goes through (3, -6)

y-3=7(x+6)

y+6=7(x-3)

y+3=7(x-6)

y-6=7(x+3)

Write an equation of the line

y=-3

x=-3

y=-2

x=2

Write an equation of the line with the given graph.

x=3

y=3

Write an equation of the line in slope-intercept form with the given y-int and slope.
y-int = 1
slope=-1

y=x+1

y=-x-1

y=x-1

y=-x+1

10.

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

11.

Which of these represents slope-intercept form of a linear equation?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

12.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

13.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

-1

-3

14.

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

y +7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y+ 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

15.

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

y + 1 = -3(x - 2)

y + 1 = -3(x + 2)

y - 1 = 3(x - 1)

y + 2 = -3(x + 1)

16.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

17.

What type of slope?

negative

positive

zero slope

downward slope

18.

What type of slope?

undefined

positive slope

negative slope

zero slope

19.

Write an equation
m = -1/2 through (-2, 4)

y = -3/2x + 3

y = 3/2x + 3

y = -1/2x + 3

y = 3x - 3/2

20.

Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)

y - 5 = 2(x + 3)

y + 5 = 2(x - 3)

y - 3 = 2(x + 5)

y + 3 = 2(x - 5)

21.

Write an equation in point slope form that passes through the following points.
(1, 4) and (-1, 1)

y - 4 = ³/₂(x - 1)

y - 1 = ³/₂(x - 1)

y - 4 = ²/₃(x - 1)

y - 1 = ²/₃(x - 1)

22.

What type of slope?

negative

steep

undefined

zero slope

23.

Write an equation in point slope form that passes through the following points.
(1, 4) and (-1, 1)

y-4=3/2(x-1)

y+4=3/2(x-1)

y=3/2x+4

x-4=3/2(y-1)

24.

What is the NEXT step in writing the equation in slope-intercept form?
1.) 3x+4y=12

Divide by 4

Subtract 3x

Subtract 3

Not Here

25.

What is the NEXT step in writing the equation in slope-intercept form?
1.) 3x+4y=12
2.) 4y= -3x +12

Divide by 4

Subtract 3x

Subtract 3

Not Here

26.

What is the NEXT step in writing the equation in slope-intercept form?
1.) 6x+3y=12

Divide by 4

Subtract 6

Subtract 6x

Not Here

27.

What is the NEXT step in writing the equation in slope-intercept form?
1.) 6x+3y=12
2.) 3y= -6x +12

Divide by -6

Subtract 3x

Divide by 3

Not Here

28.

Which of the following are written in standard form?

y=3x-5

3x+16=5y

2/3 x + 9/13 y = 21

5x+7y=-12

29.

What is the x- intercept of the graph of 3x+4y=24

-12

-8

30.

What is the y-intercept of the graph of 3x+4y=24

-6

-15

31.

Write in standard form.
2x - 8 = -3y + 2

2x + 3y = 10

2x - 3y = 10

2x + 3y = -6

2x - 3y = -6

32.

Does the solution (6, -2) satisfy the equation
3x - 4y = 24

Yes

33.

Write in standard form.
y = -4x - 5

y = -3x + 5

4x + y = -5

4x - y = 5

-4x + y = -5

34.

Find the x and y intercepts
4x - 5y = 40

x intercept is 10
y intercept is 8

x intercept is 10
y intercept is 20

x intercept is 8
y intercept is 10

x intercept is 10
y intercept is -8

35.

What is the y-intercept?

-3

36.

Which of the following has a y-intercept of 3?

y = 3x +2

x=3

y=2x+3

y=x

37.

Change the following to slope-intercept form:
5x - 5y = 25

y = x - 5

y = 5x - 1

y = -x + 5

y = 5x + 1

38.

What is the y-intercept of the graph of 3x+4y=24

-6

-15

39.

What is the x- intercept of the graph of 3x+4y=24

-12

-8

40.

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

41.

Write in standard form.
2x - 8 = -3y + 2

2x + 3y = 10

2x - 3y = 10

2x + 3y = -6

2x - 3y = -6

42.

Which point would be on the line of 5x+3y=21?

(1, 5)

(2, 6)

(3, 2)

(0, 6)

43.

Find the slope given:
(-3, 8) and (10, 4)

-4/13

-6/5

-13/4

5/6

44.

Re-write the following equation in slope-intercept form:
5x + 10y = 30

y = -1/2 x + 3

y = 1/2 x +3

y = -5x + 30

y = 5x - 30

45.

Find the slope and y-intercept:
-6x + -2y = 18

slope = -6, y-intercept = -2

slope = -3, y-intercept = 9

slope = 3, y -intercept = -9

slope = 6, y-intercept = 3

46.

Find the slope and y-intercept of:
-2x - 3y = -12

slope = 2/3, y-intercept = -12

slope = -2/3, y-intercept = -3

slope = -2/3, y-intercept = 4

slope = -12, y-intercept = -3

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Point- Slope and Standard Form

Total questions: 46

Worksheet time: 11hrs 48mins

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