steve816 one year ago It has been 4 hours. My hope is slowly diminishing. Please MAYDAY! MAYDAY! Find the equation of a line containing the points S(-3,4) and T(6,-7) in slope-intercept, standard, and point-slope form.

1. jim_thompson5910

what slope did you get?

2. steve816

actually I think it's -9/11

3. jim_thompson5910

yes

4. jim_thompson5910

no you had it right the first time

5. steve816

oh -11/9

6. steve816

So what do I do from here?

7. jim_thompson5910

$\Large m = \frac{y_2-y_1}{x_2-x_1}$ $\Large m = \frac{-7-4}{6-(-3)}$ $\Large m = \frac{-7-4}{6+3}$ $\Large m = \frac{-11}{9}$

8. jim_thompson5910

now you use one of the points along with the slope

9. steve816

Yes thank you for that.

10. jim_thompson5910

and plug them into the point slope form $\Large y - y_1 = m(x-x_1)$

11. steve816

how do I find the y intercept?

12. jim_thompson5910

$\Large y - y_1 = m(x-x_1)$ $\Large y - y_1 = -\frac{11}{9}(x-x_1)$ $\Large y - 4 = -\frac{11}{9}(x-(-3))$ $\Large y - 4 = -\frac{11}{9}(x+3)$ In Step 2, I plugged in the slope In Step 3, I plugged in one of the given points. In this case, I used (-3,4)

13. jim_thompson5910

so hopefully you see how I got the point slope form equation

14. steve816

Wow, brilliant!

15. steve816

but how do I find the b value in slope-intercept form?

16. jim_thompson5910

now isolate y and convert the equation into y = mx+b form

17. jim_thompson5910

also you'll have to distribute the -11/9 through

18. steve816

Alright thanks!

19. jim_thompson5910

as for standard form, you have to convert to Ax + By = C form

20. jim_thompson5910

A,B,C are whole numbers

21. steve816

Yes I understand how to do this from there! Thanks so much, really appreciate it.

22. jim_thompson5910

you're welcome

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