## automaticloveletter one year ago What would most likely be the approximate height of the plant after 7 weeks? 4.8 centimeters 14.4 centimeters 16.5 centimeters 19.5 centimeters

1. automaticloveletter
2. triciaal

one approach find the slope of the line change in y/ change in x slope is the same for any 2 points on that line using one of the points and (7, y) solve for y the height when x = 7

3. automaticloveletter

@triciaal I'm confused

4. automaticloveletter

@ChillOut

5. ChillOut

We have a linear equation. The form of a linear equation is given by y= mx + b, where "m" is the angular coefficient and "b" the y intercept. "b" is given by $$\frac{ \Delta y }{ \Delta x }$$

6. ChillOut

Moving on... "b", the "y intecept" is 2 as we can see from graph |dw:1437427126952:dw|

7. ChillOut

So... now to find the coefficient "m". We need to use known points, and the easiest ones for that are (0,2) and (5,4). We do $$\frac{ \Delta y }{ \Delta x }$$ and we have $\frac{ 4-2 }{ 5-0 }=\frac{ 2 }{ 5 }$ Now we need to plug m and b in the equation... $\frac{ 2 }{ 5 }x +2$ This is the equation for this line. After this, we plug 7 in the "x".

8. ChillOut

And we will have $\frac{ 2 }{ 5 }*7 +2=\frac{14}{5}+2 = \frac{24}{5}=4.8 cm$

9. ChillOut

Did you get it? :)

10. automaticloveletter

Got it

11. ChillOut

All right then. If you need any help I'll be back later. Just ask ;)

12. ChillOut

Oh, and in my first response it should be "m" is given by dy/dx. major mistake there by me.

13. triciaal

@automaticloveletter you are confused on finding the slope of the line even after telling you it's the change in y / change in x ?

14. automaticloveletter

@triciaal Yeah, well I got it now. Thanks anyways.