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Writing Equations Activity
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Created on October 22, 2024
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Transcript
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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