Question

please help! I have the answer, I just need to explain it. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant’s height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months.

Time (weeks): 2; Plant Height (inches): 12

Time (weeks): 4; Plant Height (inches): 17

Time (weeks): 6; Plant Height (inches): 22

Time (weeks): 8; Plant Height (inches): 27

Answer 1

The answer is y=(5/2)x+7

Answer 2

Hi

Answer 3

Hi

Answer 4

Heyo ^^ So you just need an explanation of how you found the answer?

Answer 5

yes

Answer 6

Well if that is what you need to find we would convert these times into coordinates so....

\(\Huge{(2,12),~ (4,17), ~ (6,12),~(8,27)}\)

So to find the slope we would choose two points and find the slope...So we would use the slope intercept formula...

\(\Huge{\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{17-12}{4-2}}\)

In which you would simply simplify to find the slope in which what you got was \(\LARGE{\frac{5}{2}}\)....

Answer 7

Thank you blackghost, I apprectiate it!

Answer 8

No Problem!

Are you able to write an explanation to find the y-intercept?

Answer 9

Yes

Answer 10

Great! Good luck with your work and have a great summer ^^

Answer 11

thank you, you too!