5.1: Writing Equations in Slope-Intercept Form
SLOPE INTERCEPT FORM!!!!!!!!!!!!!!!
Write an equation of the line that passes through (3,9) and has a slope of 2
y=2x+3
POINT-SLOPE FORM!!
Write an equation in point-slope form for the line that passes through (2,4) m=5
y-4=5(x-2)
Determine whether each scatter plot shows a positive, negative or no correlation.
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As "x" _________, "y"_________
Positive
increases, increases
Malila has been charting her exercise routine. She has noticed a positive correlation between the amount of time spent running on the treadmill and the calories burned.
Causation & Correlation
Causation
y1~mx1+b1
The table shows the number of goals a soccer team scored each season since 2010. Let x be the number of years since 2010.
Write an equation
x y
2010 48
2011 52
2012 50
2013 46
2014 48
2015 42
y=-1.31x+50.95
Write an equation of the line that passes through each pair of points
(2,4) (-8,6)
y=-1/5x + 22/5
or
y=-.20x + 4.4
Write an equation in point-slope form for the line that passes through the given points.
(5,3) (10,-2)
y-3=-1(x-5)
or
y+2=-1(x-10)
Determine whether each scatter plot shows a positive, negative or no correlation.
No correlation
A newspaper published an article stating a positive correlation between monthly I-phone sales and reported Shark bites.
Causation or Correlation
Correlation
y1~mx1+b1
The table shows the sales of a health and beauty supply company, in millions of dollars, for several years. Let x be the number of years since 2010.
Write an equation
x y
2011 12.2
2012 19.1
2013 29.4
2014 37.3
2015 45.7
y=8.52x+3.18
Write an equation of the line that passes through each pair of points
(1,3) (5,7)
y=x+2
Write an equation in slope-intercept form
PARALLEL:
(-2,3); y=-3/4x+4
y=-3/4x+3/2
Use the points ( 8 , 12,800 ) and ( 14, 14,420 ) to write the equation of the line of fit in slope intercept form
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Find age 17
Child's Age Annual Cost
2 12940
5 12970
8 12800
11 13600
14 14420
y=270x+10640
y=270(17)+10640=15230
Correlation or Causation
Positive, negative or no correlation
Minutes Exercising Calories Burned
30 120
60 240
90 360
120 480
Causation and Positive
Find the Inverses of each relation
x y
-4 -2
-2 -1
0 1
2 0
4 2
(-2,-4) (-1,-2) (1,0) (0,2) (2,4)
Write an equation for the graph!
Show Picture
y=-x-4
Write an equation in slope-intercept form
Perpendicular:
(-2,3); y=-3/4x+4
y=4/3x+17/3
Determine whether each scatter plot shows a positive, negative, or no correlation.
Negative
Determine whether each situation illustrates a correlation or causation.
The larger a person’s shoe size, the higher a person’s reading level.
Correlation
Find the Inverses of each relation
(-1,16) (-2,12) (-3,8) (-4,4)
(16,-1) (12,-2) (8,-3) (4,-4)
Write an equation of the table:
X Y
2 16
3 23.5
4 31
5 38.5
6 46
y=7.5x+1
Determine whether equation is parallel, perpendicular, neither.
y=ax-5 y=bx+3
when a=-3 and b=5, the graphs are?????
Neither
The scatter plot shows the average price of a National Football League ticket from 2007 to 2016.
Use the points (2007, 67.11) and (2016, 92.98) to write the slope-intercept form of an equation for the line of fit shown, where x is the number of years since 2006. Round to the nearest hundredth.
y=2.87x+64.24
Determine whether each situation illustrates a correlation or causation.
Hae notices that the lower the daily temperature is, the less time she spends outside.
Causation
Find the inverse of each relation
f(x)=6(x+7)
f^-1(x)=1/6x-7