## anonymous 4 years ago For a ground temperature of 15 degree Celsius, the air temperature (t) at an altitude of 500m (h) is 10 degree Celsius. At 2000 m, the air temperature is -5 degree Celsius. Use the ordered pairs (h,t). a. Find a linear equation for these data points. b. Use this linear equation to find the air temperature at 1500m.

1. anonymous

y=mx+b

2. Mertsj

You have been given two ordered pairs: (500,10) and (2000,-5) Can you find the slope of this line?

3. anonymous

No I also need help with that.

4. Mertsj

Subtract the second numbers of the ordered pairs: 10-(-5)=15 Subtract the first numbers of the ordered pairs: (500-2000)=-1500 Put the first number over the second: 15/-1500 =-1/100 That is the slope.

5. Mertsj

Now substitute the slope and one of the ordered pairs into y = mx + b and find b. Then you will have the equation of your line.

6. Mertsj

Can you do that?

7. anonymous

im doing it now hang on please

8. anonymous

ok

9. Mertsj

What did you get for b?

10. anonymous

wait, I think I did something wrong lemmy double check.

11. Mertsj

double check granted.

12. anonymous

can you pick either one (15/-1500) or (-1/100) as the x and the y?

13. Mertsj

-1/100 is m, the slope. For x and y you may use either ordered pair you choose.

14. anonymous

I got -15 = (1500)(-1/100) + b

15. Mertsj

$10=\frac{-1}{100}(500)+b$ $10=-5+b$ $15=b$

16. Mertsj

Solve for b

17. anonymous

oh I see now. Thank you for being patient with me.

18. Mertsj

$y=\frac{-1}{100}x+15$

19. Mertsj

yw

20. Mertsj

Now replace x with 1500 to find the temperature at 1500 m