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

(-2,6);6x=5y+8

Question

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

(-2,6);6x=5y+8

jim_thompson5910 · Answer

6x=5y+8

6x-5y=8

-----------

6x-5y=C

6(-2)-5(6)=C

-12-30=C

-42=C

C=-42


So the parallel equation is 6x-5y=-42. Now solve for y



6x-5y=-42


-5y=-6x-42


y=6/5x+42/5


Answer: $$y=\frac{6}{5}x+\frac{42}{5}$$

anonymous · Answer

how about (2,6);4x+y=7

jim_thompson5910 · Answer

4x+y=C

4(2)+6=C

14=C


Parallel equation is 4x+y=14

Solve for y


4x+y=14

y=-4x+14


Answer:

y = -4x+14

anonymous · Answer

oh, it must be perpendicular to the given line

anonymous · Answer

sorry

anonymous · Answer

do you know the perpendicular equation?

jim_thompson5910 · Answer

yes one sec

anonymous · Answer

thank you

jim_thompson5910 · Answer

Answer is 

$$y=\frac{1}{4}x+\frac{11}{2}$$

anonymous · Answer

same thing, perpendicular

(9,-3);9x+2y=7

jim_thompson5910 · Answer

Answer is $$y=\frac{2}{9}x-5$$

anonymous · Answer

In 1992, the life expectancy of males in a certain country was 69.8 years. In 1996, it was 72.4 years. Let E represent the life expectancy in the year t and let t represent the number of years since 1992. The linear function E(t) that fits the data is..

E(t)=?t+?

jim_thompson5910 · Answer

E(t) = 0.65 t+69.8

anonymous · Answer

round to the nearest tenth

jim_thompson5910 · Answer

E(t) = 0.7 t+69.8

jim_thompson5910 · Answer

that's of course after rounding to the nearest tenth

anonymous · Answer

use the function to predict the life expectancyy of males in 2008

anonymous · Answer

E(16)=

jim_thompson5910 · Answer

E(16)=81

anonymous · Answer

the table list data regarding the average salaries of professional athletes in the years 1991 and 2001

1991 262,000
2001 1,390,000

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

S(x)=?

jim_thompson5910 · Answer

S(x)=112800x+262000

anonymous · Answer

incorrect

jim_thompson5910 · Answer

does it want x to start at 1991?

jim_thompson5910 · Answer

oh and is S(x) in terms of thousands?

anonymous · Answer

Its cool man, I thank you for all the help! The test just ended ofically at 12am mst

jim_thompson5910 · Answer

ok my guess is that x was supposed to start at 1991 instead of 0. oh well

anonymous · Answer

lol thanks