Finding the rule for partial from a table of values X 1 2 4 6 y 5 6 8 10 Remember the rule looks like y ax b Step 1 find the rate of change 15 26 ID: 581177
Download Presentation The PPT/PDF document "Partial relation" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Partial relationSlide2
Finding the rule for
partial from a table of values
X1246y56810
Remember: the rule “looks” like y = ax + b
Step 1: find the rate of change
(1,5) (2,6)
x
1
y
1
x
2
y
2
a =
6-5
2-1
a = 1Slide3
Step 2: find the initial value “b”
y = ax
+ b you need to pick 1 of the coordinates to substitute into the rule (1,5) x,y 5 = 1(1) + b 5 = 1 + b 5 – 1 = 1 + b - 1 4 = b now put it back into the ruleSlide4
So far you have a = 1 and b = 4 that’s all you need to do this !!!
Rule y = 1x + 4
Try the following example..follow the patternX3040y560680Slide5
Step 1- find “a’”
( 30,560) (40,680)
x1 y1 x2 y2 a = 680-560 40-30 a = 120 10 a = 12Slide6
Step 2- find the “b”
pick a coordinate (30,560)
x y Y = ax + b560 = 12(30) + b560 = 360 + b560 – 360 = 240 + b -360 b = 200Write the rule y = 12x + 200Slide7
Find the rule for these partial relations
1- ( 3,15) and (-2,-5)
2- (2,2) and (-5,23)3- (6,38) and (11,53)Follow all the steps like in your notes.Answers1- y=4x+32- y=-3x +83- y=3x +20Slide8
How to find the rule for partial from a graph
On the graph look to see if the line passes through the y-axis at point
that you know. in this case you know that the b=3. Pick the coordinates of the initial value (0,3) and then 1 other point. Use these 2 points to calculate “a”.Once you have calculated “a” you can write out the rule in the form of y=ax+b
3Slide9
How to find the rule for partial when you don’t know B
On the graph, pick two points that are definitely on the line.
Find the rate of changeFollow the steps for finding the rule for partial based on a table of valuesSlide10
Practice equation of a line
Write the equation of the line that passes through the following points.
Be sure to show all work required…neatly.(3,-2) and (4,0) b) (7,-4) and (4,5)(1,2) and (3,-2) d) (9,4) and (10,-2) e) (4,1) (12,5) Answersa) Y = 2x – 8
d) Y = -6x +58b)
Y = -3x +
17
e)
Y = 0.5x -1
c)
Y = -2x +4Slide11
(3,-2) ( 4,0)
x
1y 1 x2 y2Find “a”= 0 – (-2) 4-3 a = 2 1 a = 2Find “b” y = ax + b 0 = 2(4) +b 0 = 8 + b 0-8 = 8 + b – 8
-8 = bWrite the rule y = ax + b y = 2x - 8