Mario Kart Equations

MATHIO KART

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Mathio Kart Mastery Challenge

Let's meet our drivers!

Click yellow Yoshi to learn which form of a linear equation he represents in our racing game.

y = mx + by = 2x + 1(0,1) is the y-intercept

You can't miss yellow Yoshi's round nose that reminds us of the "y-intercept." Notice he also drives a yellow submarine... where the "subs" help us find the slope. Yellow Yoshi represents the slope-intercept formula.

Mathio Kart Mastery Challenge

Let's meet our drivers!

Click Toad to learn which form of a linear equation he represents in our racing game.

y - y1 = m(x - x1)y - 9 = 2(x + 1)m = 2 (-1, 9) is the point

Notice the points on toad's mushroom cap. He helps us remember the point-slope formula.

Mathio Kart Mastery Challenge

Let's meet our drivers!

Click Bowser Jr. to learn which form of a linear equation he represents in our racing game.

Ax + By = C-6x + 5y = 11

Bowser Jr. is big and clunky with spikes on his back that everyone wants to avoid. This can remind us of the standard form. The cannon on his pirate ship targets the x and y intercepts, which is really all that this equation is good for.

Mathio Kart Mastery Challenge

Tutorial 1/3: Yoshi Island

Let's review: Which driver below represents the point-slope form for the equation of a line?

y - 10 = -17(x + 34)

16x - 98y = 73

y = 8x - 6

Correct! You remembered that the points on his hat are like the point you use in point-slope form!

y - 10 = -17(x + 34)

Mathio Kart Mastery Challenge

Tutorial 2/3: Mario Circuit 3

Which driver below represents the slope-intercept form for the equation of a line?

y - 10 = -17(x + 34)

y = 8x - 6

16x - 98y = 73

Correct! Yoshi's big nose is hard to miss. Just like the y-intercept on a graph is easy to identify.

y = 8x - 6

Mathio Kart Mastery Challenge

Tutorial 3/3: Choco Mountain

Which driver below represents the standard form for the equation of a line?

y - 10 = -17(x + 34)

y = 8x - 6

16x - 98y = 73

16x - 98y = 73

Correct! Even as a child, Bowser Jr. has to make things difficult! His cannon points directly at the x and y intercepts.

Now that your engines are ready, let's race to the finish in the Mathio Kart tour! At the end of the lesson, there will be a secret code. Please enter that into Edio when you are finished with the race.

Mathio Kart Mastery Challenge

Question 1/10: Yoshi Island

On this track there is a point (1,9) as well as the slope of 2. Based on the obstacles given in this course, which driver can help us write the equation of the line?

(1, 9)

m = 2

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

Mathio Kart Mastery Challenge

Question 1/10: Yoshi Island

Correct! Which is the correct equation when you insert the given information into the point-slope formula? (1,9); m = 2

A) y - 9 = 2(x - 1)

B) y - 9 = 2(x + 1)

C) y + 9 = 2(x - 1)

y - y1 = m(x - x1)

VICTORY!

Mathio Kart Mastery Challenge

Question 2/10: Mario Circuit 3

Who can help us find the intercepts of the following equation: 6x + 3y = 24 ?

y - y1 = m(x - x1)

y = mx + b

Ax + By = C

Mathio Kart Mastery Challenge

Question 2/10: Mario Circuit 3

Correct! What are the x- and y-intercepts given the following equation?

6x + 3y = 24

A: (4,0) and (0,8)

B: (8,0) and (0,4)

C: (4,0) and (8,0)

VICTORY!

Mathio Kart Mastery Challenge

Question 3/10: Choco Mountain

There is a steep slope (m=9)inside the mountain. Be careful near the bottom, you will intercept a hidden mine in the mountain wall (b= -3). Who is the best driver to attempt this course?

y - y1 = m(x - x1)

y = mx + b

Ax + By = C

Mathio Kart Mastery Challenge

Question 3/10: Choco Mountain

Correct! Which graph represents the equation accurately? y = 9x - 3

C:

A:

B:

VICTORY!

Mathio Kart Mastery Challenge

Question 4/10: Koopa Cape

It is up to you to determine who is going to be victorious!Which driver would you choose given the following equation: y = -1.7x + 5

Point-Slope

Standard

Slope-Intercept

CORRECT!Which of the following is the y-intercept of the equation y = -1.7x + 5

B) 5

A) 1.7

D) -5

C) -1.7

VICTORY!

Mathio Kart Mastery Challenge

Question 5/10: Snow Land

Which character represents this equation? y + 4 = -3(x - 1)

Point-Slope

Slope-Intercept

Standard

Given the equation, what is the point that Toad used to be victorious? y + 4 = -3(x - 1)

A: (1, 4)

C: (-1, -4)

B: (1, -4)

D: (-1, 4)

VICTORY!

Mathio Kart Mastery Challenge

Question 6/10: Waluigi Pinball

Which character would you choose when writing an equation in point-slope form given the point (-2,3) and a slope of -4?

y - y1 = m(x - x1)

Ax + By = C

y = mx + b

Write an equation in point-slope form given a point with the given point: (-2, 3) and m = -4

A) y - 4 = 3(x - 2)

B) y + 3 = -4(x + 2)

C) y - 3 = -4(x + 2)

VICTORY!

Mathio Kart Mastery Challenge

Question 7/10: Kalimari Desert

Koopa announced prior to the race that the overall slope of the course is -2/3. Which driver does not benefit from this information?

y = mx + b

y - y1 = m(x - x1)

Ax + By = C

Bowser Jr. does not know much about the slope. However, he is an expert at finding other information. Which option BEST describes Bowser, Jr.'s math skills?

A) x-intercepts

C) y-intercepts

B) points on the line

D) both the x- and y-intercepts

VICTORY!

Mathio Kart Mastery Challenge

Question 8/10: Mushroom Gorge

Using the following information, which driver correctly was able to find the shortcut to victory! m = -4; (0, 2)

y = -4x + 2

y - 2 = -4(x - 0)

y = -4(x - 2)

Awesome! You found one of the correct answers. Since the point is also an intercept, you could have used either point-slope or the slope-intercept formula. Which equation of a line is correct given the following information: slope of 1/2 and y-intercept at (0,7)

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

B) y = 1/2(x + 7)

C) y = 1/2x + 7

VICTORY!

Mathio Kart Mastery Challenge

Question 9/10: New York Minute

The first driver to identify A, B, and C in the given equation will certainly win this race! 2x + 5y = -10

Slope-Intercept

Point-Slope

Standard

Match the correct letter from the standard form of an equation with the correct number from the given equation. 2x +5y = -1

B:

D:

A:

C:

A = -2B = -5 C = 1

A = 2B = 5 C = 1

A = 2B = 5 C = -1

A = 2B = 1 C = 5

VICTORY!

Mathio Kart Mastery Challenge

Question 10/10: Rainbow Road

Rainbow Road...always one of the most difficult courses! But that doesn't mean that our drivers will struggle with this next question. Given the following equation, who will earn the powerup when they quickly identify the y-intercept? f(x) = 4x + 7

Point-Slope

Standard

Slope-Intercept

Yoshi is your ideal driver! Now, what is the y-intercept of the given equation? f(x) = 4x + 7

A: (0,-4)

B: (0,7)

C: (0,4)

D: (0,-7)

VICTORY!

Congratulations!

You have won the annual Mathio Kart competition! You are on your way to mastering forms for the equation of a line.

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