Assignment:
Q1. 7-1/2y = 2x)
The slope is ________
The y-intercept is (0,____)
Q2. Find the slope, if it exists, of the line containing the pair of points.
(7,5) and (9,-4)
The slope m=_________
(Simplify your answer. Type an integer or a fiction. Type N if the slope is undefined)
Q3. Find the slope, if it exists, of the line containing the pair of points.
(-7,-19)and (-8,-20)
The slope m=____________
(Simplify your answer. Type an integer or a fiction. Type N if the slope is undefined)
Q4. Determine whether the graph of the pair of lines are parallel.
x+8=y
y-x=-4
What is the slope of the line x+8=y?_______________
What is the slope of the line y-x=-4?
Are the graphs of the given equations parallel?
Yes________ No_______________
Q5. Determine whether the graphs of each pair of lines are parallel.
2x+6=y
2y=4x-5
Are the graphs of the given equations parallel.
Q6. Find the slope-intercept equation of the line that has the given characteristics.
Slope 9 and y-intercept (0,8)
The slope-intercept equation is y=______________
Q7. Find the slope-intercept equation of the line that has the given characteristics.
Slope 5.9 and y-intercept (0,-3)
The slope-intercept equation y=_________________
(use intercept or dicimals for any numbers in the expression.)
Q8. Find an equation of the line having the given slope and containing the given point.
M=7,(6,1)
The equation of the line is y=____________
(Simplify your answer. Use integers or fractions for any number in the expression)
Q9. Find an equation of the line having the given slope and containing the given point.
m=8/9 ,(2,-2)
The equation of the line is y= _______________
(Simplify your answer. Use integers or fractions for any number in the expression)
Q10. Find the equation of the line containing the given pair of points. Express your answer in the form x=a,y=b, or y=mx+b
(-7,-7) and (4,4)
What is an equation of the line?
y=______________(Simplify your answer.)
Q11. Find an equation of the line containing the given pair of points.
(-2,-4) and (-5,-6)
The equation of the line is y=_________.
(Simplify your answer. Use integers or fractions for any number in the expression)
Q12. Find an equation of the line containing the given pair of points.
[1/6,-1/3] and [5/6,3]
What is the equation of the line?
y=____________
(Simplify your answer. Type answer in the form y=mx+b using integers or fractions.)
Q13. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(6,7; x+6y=7
The equation of the line is y=___________
(Simplify your answer. Use integers or fractions for any numbers in the expression)
Q14. Write an equation of the line containing the given point and parallel to the given line.
Express your answer in the form y=mx+b.
(-9,2); 4x=5y+2
The equation of the line is y=_____________
(Simplify your answer. Use integers or fractions for any numbers in the expression)
Q15. Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b
(2,4); 7x+y=6
The equation of the line is y=_______________
(Simplify your answer. Use integers or fractions for any numbers in the expression)
Q16. Write an equation of the line containing the given point and perpendicular to the given line.
(3,-3); 4x+5y=7
The equation of the line is y=_______________
(Type your answer in the form y=mx+b. Simplify your answer. Type an integer or a fraction.)
The table lists data regarding the average salaries of several professional athletes in the year 1991 and 2001.
a) Use the data points to find a linear function that fits the data.
b) Use the function to predict the average salary in 2005 and 2010.
Year Average Salary
1991 $277,000
2001 $1,380,000
A linear function that fits the data is S(x)=_________________
(Let x= the number of years since 1990, and let S= the average salary x years from 1990)
The predicted average salary for 2005 is$_____________
(Round to the nearest whole number)
The predicted average salary for 2010 is $_______________
(Round to the nearest whole number)
Q17. In 1920, the record for a certain race was 45.4 sec. In 1980, it was 43.6 sec.
Let R(t)=the record in the race and t=the number of years since 1920.
a) Find a linear function that fits the data.
b) Use the function in(a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 42.5 sec
Find a linear function that fits the data.
R(t)=______________
(round to the nearest hundredth)
What is the predicted record for 2003?____________sec.
(round to the nearest tenth.)
What is the predicted record for 2006?_____________sec.
(round to the nearest tenth.)
In what year the predicated record be 42.5 seconds?__________________
(round to the nearest year)
Q18. In 1991 the life expectancy of males in certain country was 64.9 years. In 1997, it was 68.4 years. Let E represent the life expectancy in year t and let t represents the number of years since 1991.
The linear function F(t) that fits the data is
E(t)=________t+____________.
(round to the nearest tenth.)
Use the function to predict the life expectancy of males in 2008.
E(17)=_________________
(round to the nearest tenth)
Provide complete and step by step solution for the question and show calculations and use formulas.