Lesson 6 - Point Slope Form

Drag and Drop

Write the equation of the line that passes through the point (4 , –5) with a slope of 6.



(y ​

Placeholder

) = ​

Placeholder

(x ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

+5

-4

+6

-5

-6

+4

4/5

-4/5

5/4

-5/4

Drag and Drop

Write the equation of the line that passes through the point (4 , –5) with a slope of 6.



(y ​

Placeholder

) = ​

Placeholder

(x ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

+5

-4

+6

-5

-6

+4

4/5

-4/5

5/4

-5/4

Drag and Drop

What is one point that this line passes through: y - π = 2(x + 3π)

(​​

Placeholder

,​

Placeholder

)

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-3

–π

3π

2

-2

–3π

π

π/3

3/π

2π

Drag and Drop

What is one point that this line passes through: y + 4 = 5

(x – 2)?

(​​

Placeholder

,​

Placeholder

)

Drag these tiles and drop them in the correct blank above

-2

+4

5

-5

4/5

-5/4

2

-4

5/4

2/5

Multiple Choice

What is the y-intercept of the line with the equation y – 12 = 2(x + 17)?

• 17

• -12

• 34

• 12

• 46

​Pause here please. Close your laptop.

Drag and Drop

 Write the equation of the line that passes through (–2, –5) and has a slope of 10.

(y​ ​

Placeholder

)=​ ​

Placeholder

(x​​

Placeholder

)

Drag these tiles and drop them in the correct blank above

+5

+10

+2

-5

-2

-10

1/5

2/5

-2/5

-5/2

Drag and Drop

What would be the equation of the line (y - 5) = 2(x + 7) in slope intercept form?

y = ​

Placeholder

x​

Placeholder

Drag these tiles and drop them in the correct blank above

2

+19

-2

-19

+7

-7

+5

-5

+3

-3

Draw

Sketch the construction steps necessary to dilate circle P and chord QR.

Note: To dilate a circle, you must dilate the center of the circle and any one point on the outside. Those two points together will form the radius of the circle, which allow you to make the circle with your ruler and compass.

Double Note: I'm not sure this will be feasible on quizizz. Just trying it out. If it's terrible, do it in your notebooks please.

Math Response

Let’s think of Manhattan as a coordinate grid where a point is defined by its street number (x) and its avenue number (y). For example, a person at the intersection of 68th street and 3rd avenue would be at the point (68 , 3). 

A cab drives along Broadway. It starts at 23rd street and 5th avenue, and it drops the person off at 44th street and 7th avenue. Use those points to write the equation of the cab’s path along Broadway in point-slope form.

Hint: To write in point slope form, you need a point and the ______?

Type answer here

Correct Answer: \left(y-5\right)=\frac{2}{21}\left(x-23\right)

Deg^°

Rad

Math Response

A ship starts at a latitude (x) and longitude (y) of (58, 175). The ship wants to travel on a path so that it goes 3 degrees west for every 1 degree south. Write the equation of the ship’s path.

Type answer here

Correct Answer: \left(y-175\right)=\frac{1}{3}\left(x-58\right)

Deg^°

Rad

Open Ended

Write the equation of two lines that pass through the point (2, –7).

Open Ended

Earth is located at the point (102, 360). An asteroid the size of Alaska is traveling along the path y – 5 = 3(x – 17). Will the asteroid impact the Earth?