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Writing Equations Activity

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Created on October 22, 2024

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Writing Equations Activity

Start

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Writing Equations

Complete the activity for each lesson

Slope Intercept Form

Slope Intercept Form

Question 1

Write the equation of the line that has a slope of -1/3 and y-intercept of 8.

y = 3x + 8

y = -1/3x + 8

y = 8x - 1/3

Question 2

01

A company charges $50 per cake and a shipping fee of $7.50, no matter how many cakes you order. Write an equation that represents how much the cakes would cost, y, as a function of the number of cakes, x, you order.

y = 57.5x

y = 7.5x + 50

y = 50x + 7.5

Question 3

Write the equation of the line in slope-intercept form that passes through the points (0,-8) & (2,-2).

y = 3x - 8

y = 2x - 5

01

y = 8x - 3

Perfect, you have passed!

Move on to the next lesson

Continuing

Writing Equations

DONE!

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Slope Intercept Form

Complete the activity for each lesson and earn a fantastic diploma

Parallel / Perpendicular

Question 1

What is true about the slopes of parallel lines?

They have opposite slopes.

They have the same slopes.

They are all blue.

They are negative reciprocals

02

Question 2

What is true about the slopes of perpendicular lines?

They are all green.

They are negative recipricoals.

They are opposites.

They are the same.

Question 4

What is true about a horizontal line?

It has a slope of 0.

It has no slope.

It's equation is x = #.

It has a slope of undefined.

02

Excellent, you have passed!

Move on to the next lesson

Continuing

Writing Equations

DONE!

DONE!

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Slope Intercept Form

Complete the activity for each lesson and get a fantastic diploma

Horizontal / Vertical

Question 1

A vertical line has a slope of undefined.

True

False

Question 2

A horizontal line will have an equation that is y = #.

True

False

03

Question 3

An equation that reads x = # is a horizontal line.

True

False

03

Great, you have passed!

Proceed to the next lesson

Continuing

Writing Equations

DONE!

DONE!

DONE!

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Slope Intercept Form

Complete the activity for each lesson and earn a fantastic diploma

Multiple Representations

Question 01/03

For linear function f, f(2) = 10 and f(7) = 50. Which function in slope-intercept form best represents line f?

y = 8x - 6

y = -6x + 8

y = -8x + 6

y = -6x - 8

04

Question 2

The table represents some points on the graph of a linear function. Which of the following equations represents the same relationship?

y = 1/3x + 4

y = 4x + 3

y = 3x - 4

y = -3x + 4

04

Question 3

The graph of a linear function h is shown. Which equations represent the linear function?

y = 2x + 2

y = 1/2x + 2

y = 1/2x - 4

y = -4x + 2

Perfect, you have passed!

Advance to the next lesson

Continuing

Writing Equations

DONE!

DONE!

DONE!

DONE!

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Slope Intercept Form

Complete the activity for each lesson and get a fantastic diploma

k = -1/9

k = -9

k = 9

Direct Variation

Question 1

The value of y varies directly with x. When x is 3, y is -27. What is the constant of variation when y is a function of x? HINT: y = kx

05

-1/81

Question 2

The value of y varies directly with x. When x is 3, y is -27. What is the value of y if the value of x is 9? HINT: y = kx

-81

27

k = -8, y = -80

k = -1/8, y = 8

k = 8, y = 80

05

Question 3

The value of y varies directly with x. When x is -8, y is -64. What is the constant of variation and the value of y when x = 10? HINT: y = kx

Perfect, you have passed!

Move on to the next lesson

Continuing

Writing Equations

DONE!

DONE!

DONE!

DONE!

DONE!

Par. and Perp. Equations

Direct Variation

Multiple Representations

Horizontal/Vertical

Parallel/Perpendicular

Slope Intercept Form

Complete the activity for each lesson and earn a fantastic diploma

y = 3/2x + 1

y = 2/3x + 6

Parallel / Perpendicular Equations

Question 1

Write the equation in slope intercept form of a line that passes through the point (6,10) and is perpendicular to the line represented by y=-3/2 x+19.

y = 8x + 5

y = 8x + 7

Question 2

Write the equation in slope intercept form of a line that passes through the point (1,15) and is parallel to the line represented by y= 8x+2.

06

3x + y = 8

y = 3x - 8

3x - y = - 8

-3x + y = 8

Question 3

Write the equation in standard form of a line that passes through the point (2,14) and is parallel to the line represented by y= 3x+1.

06

Perfect, you have passed!

Great!

You have completed all the lessons, we have finished

Writing Equations

Let's go!

Awesome Job! You have passed all the lessons. Now, get your diploma

Rock 9 Algebra 1

Congratulations!

Writing EquationsDiploma

Congratulations on Graduating Writing Linear Equations!!!

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