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What is the formula for the distance of a line?
What is the formula for the distance of a line?
D =
What is the formula for the distance of a line?
D =
What is the formula for the distance of a line?
D =
What is the formula for the distance of a line?
D =
What is the formula for the distance of a line?
D =
Letβs ask that again:
Letβs ask that again:
What is the formula for the distance of a line?
Letβs ask that again:
What is the formula for the distance of a line?
Say it out loud.
D =
One more time:
One more time:
What is the formula for the distance of a line?
D =
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)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D =
What is the distance between point A and Point B?
(8,2)
(4,-1)
D = The distance between Point
A and Point B is 5 units
Last time:
What is the formula for the distance of a line?
D =
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?
π¦=ππ₯+π
What is the formula for a line?
π¦=ππ₯+πThis is the slope which usually is a
fraction
What is the formula for a line?
π¦=ππ₯+πThis is where the line
crosses the Y Axix
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 1 then the line goes
through the Y axis at 1.
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 1 then the line goes
through the Y axis at 1.1
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 2 then the line goes
through the Y axis at 2
2
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 3 then the line goes
through the Y axis at 3
3
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 4 then the line goes
through the Y axis at 4
4
What is the formula for a line?
π¦=ππ₯+πIf the y intercept is 0 then the line goes
through the Y axis at 0
0
Letβs go back to this formula
Letβs go back to this formula
π¦=ππ₯+π1
The slope is always a fraction.
Letβs go back to this formula
π¦=ππ₯+π1
Letβs say the slope is 1/2
Letβs go back to this formula
π¦=πππ₯+π
1
Letβs say the slope is 1/2
Letβs go back to this formula
π¦=πππ₯+π
1
Letβs go back to this formula
π¦=πππ₯+π
1
This is the rise
Letβs go back to this formula
π¦=πππ₯+π
1
This is the rise
Over the run
Letβs go back to this formula
π¦=π2π₯+1
1rise1
Letβs go back to this formula
π¦=1ππ₯+1
1
run
1
2
1
Letβs go back to this formula
π¦=1ππ₯+1run
1
2
1
Letβs go back to this formula
π¦=πππ₯+1
1
2 1
2
Letβs go back to this formula
π¦=πππ₯+1
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 0
watch what happens
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 0
watch what happens
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 0
watch what happens
0
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 2
watch what happens
0
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 2
watch what happens
0
Letβs go back to this formula
π¦=12π₯+πIf the y
intercept goes to 2
watch what happens
2
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?
π=ππ+πDid you get it right?
What does the βmβ mean?
π=ππ+π
slope
π=πππ+π
slope
π=πππ+π
1
12
slope
π=πππ+π
1
12
rise
1
slope
π=πππ+π
1
1
2 run
2
slope
π=πππ+π
1
What does the βbβ mean?
π=ππ+π
Y - intercept
π=ππ+π11
2 12
Y - intercept
π=ππ+π11
2 12
Where the line crosses the Y axis
π=ππ+π11
2 12
Where the line crosses the Y axis
π=ππ+π12 1
2
1
What do parallel lines have in common?
Letβs go back to this formula
0
Letβs go back to this formula
0
Letβs go back to this formula
0
π¦=πππ₯+π
1
Letβs go back to this formula
0
π¦=πππ₯+π
1
0
π¦=πππ₯+π
1
π¦=πππ₯+π
2
All these slopes are the same because the lines are parallel
0
π¦=πππ₯+π
1
π¦=πππ₯+π
2
All these slopes are the same because the lines are parallel
0
π¦=πππ₯+π
1
π¦=πππ₯+π
2
What is the slope of a perpendicular line to the line below?
π¦=πππ₯+π
What is the slope of a perpendicular line to the line below?
π¦=πππ₯+π
Just flip the slope and then multiply by -1
What is the slope of a perpendicular line to the line below?
π¦=πππ₯+π
Just flip the slope and then multiply by -1
What is the slope of a perpendicular line to the line below?
π¦=βπππ₯+π
Just flip the slope and then multiply by -1
What is the slope of a perpendicular line to the line below?
π¦=πππ₯+π
What is the slope of a perpendicular line to the line below?
βπππ₯
What is the slope of a perpendicular line to the line below?
π¦=π π₯+π
What is the slope of a perpendicular line to the line below?
βπππ₯