Into linear equations

Presentation

•

Mathematics

•

6th - 8th Grade

•

Hard

•

CCSS

8.EE.B.6, 8.F.A.3, HSA.REI.D.10

+11

Standards-aligned

Amaretta Hudson

Used 1+ times

FREE Resource

14 Slides • 63 Questions

Multiple Choice

Which of the following is a characteristic of a linear equation?

Its graph is a straight line

Variables have exponents greater than 1

It always has two variables

It cannot be graphed

Open Ended

Why do you think linear equations are important in mathematics and real life?

Type response here

Fill in the Blanks

In the equation y = mx + b, the variable m stands for the

Type answer...

of the line.

Multiple Choice

In the slope-intercept form y = mx + b, what does the variable 'b' represent?

The slope

The x-intercept

The y-intercept

The origin

Multiple Choice

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

Multiple Choice

Determine the slope and y-intercept. y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

Multiple Choice

Find the slope of the line.

-5/4

5/4

-4/5

4/5

Multiple Choice

Determine the slope and y-intercept. y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

y=3/2x+3

y=2/3-3

y=2/3x-3

y=2/3x+3

Multiple Choice

Find the slope of the line that passes through
(1, -19) and (-2, -7)

-4

1/4

-1/4

Multiple Choice

Find the slope of the line that passes through (-9, -6) and (-9, -10)

Undefined

-3

-9

Multiple Choice

Find the slope of the line that passes through (10, -8) and (1, 12).

20/9

-20/9

4/9

9/4

Multiple Choice

Which Graph is Linear?

1st

2nd
2nd

3rd

None

Multiple Choice

What is the x-intercept for the given graph?

-2

1/2

Multiple Choice

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

(8,10)

8, 3, 0, 4, 9

(0,8)

(9,0)

Multiple Choice

From the equation y = 3x + 18, what is the value of the x-intercept?

-6

Multiple Choice

What is the x-intercept shown on the graph?

(2, 0)

(-2, 0)

(0, 3)

(3, 0)

Multiple Choice

True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.

True

False

Multiple Choice

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

True

False

Multiple Choice

The slopes of parallel lines are...

the same

opposite

always different

Multiple Choice

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

Parallel

Perpendicular

Neither

Multiple Choice

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

Parallel

Perpendicular

Neither

Multiple Choice

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

y=-3

y=3x

y=-3x

x=-3

Multiple Choice

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

y=12x-10

y=10x+12

y=12x+10

x=10x-12

Multiple Choice

Which of the following is the correct format for the point-slope form of a linear equation?

y = mx + b

Ax + By = C

y - y₁ = m(x - x₁)

y = m(x - x₁) + b

Multiple Choice

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

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

Multiple Select

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

y - 2 = 5(x - 2)

3x + 2y = 12

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

y = 4x + 6

2y = 5x - 7

Multiple Choice

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)

Multiple Choice

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

y - 6 = -3(x - 1)

y + 6 = -3(x + 1)

y - 1 = -3(x - 6)

y + 1 = -3(x + 3)

Multiple Choice

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

-1

-3

Multiple Choice

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)

Multiple Choice

What is the point slope form equation of the graph given(use blue point in equation)

y + 2 = $\frac{3}{2}$ (x + 2)

y - 2 = $\frac{3}{2}$ (x - 2)

y + 2 = - $\frac{3}{2}$ (x + 2)

y - 2= - $\frac{3}{2}$ (x - 2)

Multiple Select

Which of the following statements are true about the standard form of a linear equation?

A, B, and C are integers.

A should be positive.

It is written as y = mx + b.

An example is 2x + 3y = 6.

Multiple Choice

What is the slope-intercept form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = Ax + By

Multiple Choice

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

Open Ended

Explain the process of converting a linear equation from point-slope form to slope-intercept form using an example.

Type response here

Open Ended

Describe the steps required to convert a linear equation from standard form to slope-intercept form. Provide an example in your explanation.

Type response here

Multiple Choice

Convert this equation into slope-intercept form. 3x + y = 12

y = -3x +12

x = y + 4

x = y + 12

y = 3x -12

Multiple Choice

Convert Point-Slope y - 5 = - 2( x + 3) to slope-intercept form

y = -2x - 11

y = -2x - 1

y = -2x + 8

y = -2x - 2

Multiple Choice

Convert Point-Slope y - 3 = 2( x - 5) to slope-intercept form

y = 2x - 8

y = 2x - 13

y = 2x - 2

y = 2x - 7

Multiple Choice

Convert Point-Slope y + 3 = 3( x - 5) to slope-intercept form

y = 3x - 8

y = 3x - 12

y = 3x - 18

y = 3x - 2

Multiple Choice

What equation represents point-slope form?

y = mx + b

y - y₁= m ( x - x₁ )

y = mx - b

y + y₁= m ( x + x₁ )

Multiple Choice

Which of the following is slope intercept form?

Ax+By = C

y-y₁=m(x-x₁)

y=mx+b

I don't know

Multiple Choice

Convert Point-Slope y + 5 = 3( x + 3) to slope-intercept form

y = 3x + 4

y = 3x + 14

y = 3x - 2

y = 3x + 8

Multiple Choice

Convert Point-Slope y - 1 = - 2( x - 4) to slope-intercept form

y = -2x - 5

y = -2x + 7

y = -2x - 3

y = -2x + 9

Multiple Choice

Is the following equation in slope-intercept form or point-slope form?
$y=-\frac{1}{3}x-17$

Point-Slope Form

Slope-Intercept Form

Multiple Choice

Convert Point-Slope y - 4 = 3( x + 1) to slope-intercept form

y = 3x + 7

y = 3x -- 1

y = 3x + 5

y = 3x - 3

Multiple Choice

Convert Point-Slope y + 3 = -2( x + 2) to slope-intercept form

y = -2x + 5

y = -2x -- 1

y = -2x + 1

y = -2x - 7

Multiple Choice

Convert this equation into slope-intercept form. x + y = 4

y = x + 4

y = -x + 4

x = -y + 4

x= y - 4

Multiple Choice

Convert this equation into slope-intercept form. 2x + y = 41

x = 2y + 41

y = 2x -41

y = -2x + 41

x = y -39

Multiple Choice

Convert this equation into slope-intercept form.

y=-3x+1

y=3x+1

y=1/3x+1

y=-1/3x-1

Multiple Choice

Convert this equation into slope-intercept form.

y=-4x-12

y=4x+12

y=-4x+12

y=-4x+3

Multiple Choice

Solve for y:
2x + 2y = 6

y = - x + 3

y = x + 3

y = 2x +6

y = - 2x + 6

Multiple Choice

Solve for y:
8x + 4y= 16

y = -8x + 16

y = 2x -4

y = -2x + 4

y = -8x + 12

Multiple Choice

Solve this equation for y:
$-6x+3y=9$

y = 2x + 9

y = 6x - 3

y = 2x + 3

y = 6x + 9

Multiple Choice

Solve this equation for y:
$10x\ -5y=30$

y = 2x - 6

y = -2x + 6

y = -10x + 30

y = 10x - 30

Multiple Choice

Which of the following equations represents the same line as y = 2x + 1?

y - 3 = 2(x - 1)

y = 3x + 1

2x - y = -1

y = 2x - 1

Multiple Choice

Which of the following are examples of linear equations in standard form?

2x - y = -1

y = 2x + 1

C = (5/9)(F - 32)

y = -10x + 100

Open Ended

Explain how linear equations can be used to model real-life situations, using examples from the slide.

Type response here

Open Ended

Describe the process of converting a linear equation from slope-intercept form to standard form. Why might you want to do this?

Type response here

Fill in the Blanks

The equation y = mx + b is known as the

Type answer...

form of a linear equation.

Open Ended

How would you explain the importance of linear equations in real-life situations?

Type response here

Multiple Choice

What is a key characteristic of a linear equation?

Its graph is a straight line

It has variables with exponents greater than 1

It always passes through the origin

It only has one variable

Show answer

Auto Play

Slide 1 / 77

SLIDE

Similar Resources on Wayground

74 questions

04 Unit: Mexican National Era

Presentation

•

7th Grade

74 questions

Middle East Environmental Issues

Presentation

•

7th Grade

72 questions

Mixed Calculations

Presentation

•

7th Grade

73 questions

Proportional Reasoning in Scale Drawings

Presentation

•

7th Grade

76 questions

Quiz Review: Expressions, Equations and Inequalities

Presentation

•

7th Grade

70 questions

Volume of prisms and cylinders

Presentation

•

6th - 8th Grade

74 questions

Intro to Binary Numbers

Presentation

•

6th - 8th Grade

68 questions

TOPIC 2 QUIZ REVIEW

Presentation

•

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Rational and Irrational Numbers

Quiz

•

8th Grade

16 questions

Proportional and Non Proportional Relationships in Tables, Graphs, and Equations

Quiz

•

7th Grade

20 questions

Constant of Proportionality

Quiz

•

7th Grade

20 questions

Halloween Trivia

Quiz

•

7th Grade

15 questions

One-Step Equations

Quiz

•

7th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

14 questions

Explore Integers and Rational Numbers

Quiz

•

6th Grade

22 questions

Ratios and Ratio Tables

Quiz

•

6th Grade