Write the equation of a line that passes through the point (3, 9) and has a slope of -1/3 PLEAS HELP NEED IT ASAP WILL THANK

y = - 1/3x + 10

Step-by-step explanation:

Step 1:

y = mx + b            Slope Intercept Form

Step 2:

y = - 1/3x + b         Input Slope

Step 3:

9 = - 1/3 ( 3 ) + b        Input x and y

Step 4:

9 =  - 1 + b           Multiply

Step 5:

10 = b

y = - 1/3x + 10

Hope This Helps :)

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9