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ACT MATH (GEOMETRY) LINES

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ACT MATH(GEOMETRY)LINES

What is the formula for the distance of a line?

What is the formula for the distance of a line?

What is the formula for the distance of a line?

What is the formula for the distance of a line?

What is the formula for the distance of a line?

What is the formula for the distance of a line?

Lets ask that again:

Lets ask that again:What is the formula for the distance of a line?

Lets ask that again:What is the formula for the distance of a line?

Say it out loud.

One more time:

One more time:What is the formula for the distance of a line?

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

What is the distance between point A and Point B? (8,2)

(4,-1)

The distance between Point A and Point B is 5 units

Last time: What is the formula for the distance of a line?

What is the formula for the midpoint of a line?

See if you can say it before going to the next slide.

Did you get it right?

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

What is midpoint between these two points? (8,2)

(4,-1)

The Midpoint

What is the formula for a line?

What is the formula for a line?

What is the formula for a line?This is the slope which usually is a fraction

What is the formula for a line?This is where the line crosses the Y Axix

What is the formula for a line?If the y intercept is 1 then the line goes through the Y axis at 1.

What is the formula for a line?If the y intercept is 1 then the line goes through the Y axis at 1.

1

What is the formula for a line?If the y intercept is 2 then the line goes through the Y axis at 2

2

What is the formula for a line?If the y intercept is 3 then the line goes through the Y axis at 3

3

What is the formula for a line?If the y intercept is 4 then the line goes through the Y axis at 4

4

What is the formula for a line?If the y intercept is 0 then the line goes through the Y axis at 0

0

Lets go back to this formula

Lets go back to this formula

1The slope is always a fraction.

Lets go back to this formula

1Lets say the slope is 1/2

Lets go back to this formula

1Lets say the slope is 1/2

Lets go back to this formula

1

Lets go back to this formula

1This is the rise

Lets go back to this formula

1This is the riseOver the run

Lets go back to this formula

1rise1

Lets go back to this formula

1run12

1Lets go back to this formula

run12

1Lets go back to this formula

12

12

Lets go back to this formula

Lets go back to this formula

If the y intercept goes to 0 watch what happens

Lets go back to this formula

If the y intercept goes to 0 watch what happens

Lets go back to this formula

If the y intercept goes to 0 watch what happens0

Lets go back to this formula

If the y intercept goes to 2 watch what happens0

Lets go back to this formula

If the y intercept goes to 2 watch what happens0

Lets go back to this formula

If the y intercept goes to 2 watch what happens2

Without going to the next slide can you say what the formula for a line is?

Without going to the next slide can you say what the formula for a line is?Did you get it right?

What does the m mean?

slope

slope1

12

slope1

12

rise1

slope1

12

run2

slope1

What does the b mean?

Y - intercept1

12

12

Y - intercept1

12

12

Where the line crosses the Y axis1

12

12

Where the line crosses the Y axis

12

12

1

What do parallel lines have in common?

Lets go back to this formula

0

Lets go back to this formula

0

Lets go back to this formula

01

Lets go back to this formula

01

012

All these slopes are the same because the lines are parallel

012

All these slopes are the same because the lines are parallel

012

What is the slope of a perpendicular line to the line below?

What is the slope of a perpendicular line to the line below?

Just flip the slope and then multiply by -1

What is the slope of a perpendicular line to the line below?

Just flip the slope and then multiply by -1

What is the slope of a perpendicular line to the line below?

Just flip the slope and then multiply by -1

What is the slope of a perpendicular line to the line below?

What is the slope of a perpendicular line to the line below?

What is the slope of a perpendicular line to the line below?

What is the slope of a perpendicular line to the line below?