1. vikstar2.0

2. lovelycharm

3. lovelycharm

Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

4. lovelycharm

i dont really get this

5. lovelycharm

can i get a example of a table of values for a linear function

6. jdoe0001

ahemm , it helps if you had named the "picture" with a pdf extension anyway

7. lovelycharm

i dont know how to do that

8. jdoe0001

so... you have a parabola and you're meant to make a LINEar function/equation graph touch it at two points notice the parabola, pick any two points you wish to touch it at first :)

9. jdoe0001

what you're asked, is pretty much|dw:1443657510281:dw|

10. lovelycharm

so 0,36

11. jdoe0001

ok... 0,36 is one point and the other point?

12. lovelycharm

6,0

13. jdoe0001

kinda cheap, since those are labeled already =) but anyhow, let us use that so.... what's the equation of that line, that crosses the points of (0,36) and (0,6) ?

14. lovelycharm

The equation for this parabola is y = -x2 + 36. this the equation they give me

15. jdoe0001

ok... how about the line with those points at 0,36) and (6,0) ?

16. jdoe0001

$$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 0}}\quad ,&{\color{blue}{ b}})\quad % (c,d) &({\color{red}{ 6}}\quad ,&{\color{blue}{ 0}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\ \qquad \uparrow\\ \textit{point-slope form}$$ to get the line, get the slope, and then plug in the values of $$x_1, y_1\ and\ the\ slope$$

17. jdoe0001

wooop missing a number there =) $$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 0}}\quad ,&{\color{blue}{ 36}})\quad % (c,d) &({\color{red}{ 6}}\quad ,&{\color{blue}{ 0}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\ \qquad \uparrow\\ \textit{point-slope form}$$

18. jdoe0001

once you have the equation you can use that, to make the table of values you're only asked for 4 values anyhow and to include those (0,36) and (6,0) so you just need two other values and you can get those from the equation

19. lovelycharm

question do i get 2 other point from the graph or i make my own

20. jdoe0001

well... has to be from the graph because the two points of (0,36) and (6,0) are ON the line and the other two points have to also be ON the same line since the table of values is for the line

21. jdoe0001

for example... what would you get for the slope at $$\begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 0}}\quad ,&{\color{blue}{ 36}})\quad % (c,d) &({\color{red}{ 6}}\quad ,&{\color{blue}{ 0}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}$$ ?

22. lovelycharm

|dw:1443581429201:dw|

23. lovelycharm

do i put it someting like this

24. jdoe0001

yes

25. jdoe0001

well... it should be |dw:1443658208506:dw|

26. jdoe0001

so... what slope would you get from $$\begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 0}}\quad ,&{\color{blue}{ 36}})\quad % (c,d) &({\color{red}{ 6}}\quad ,&{\color{blue}{ 0}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} ?$$

27. lovelycharm

|dw:1443581611578:dw|

28. lovelycharm

@jdoe0001 is that good