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anonymous one year ago Write the equation of the line that passes through (2, 4) and (1, -3) in slope-intercept form.

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1. anonymous

A. y = 7x - 10 B. y = 7x + 10 C. y = 7x + 18 D. y = 7x - 18

2. anonymous

@FireKat97

3. anonymous

This is the last one slope is 7

4. FireKat97

Yupp

5. pooja195

$\LARGE \frac{y_2-y_1}{x_2-x_1}=slope$ Find the slope first

6. anonymous

its 7

7. pooja195

$\huge y-y_1=m(x-x_1)$ where m=slope (x1,y1)

8. FireKat97

yup, thats correct, now reapply the equation from earlier

9. pooja195

now use this

10. anonymous

i dont know how to get the intercept

11. FireKat97

you don't need to find the intercept, you just have to substitute any set of co-ordinates and the slope into the (y - y1) =m(x - x1) equation

12. FireKat97

The y intercept form is just the name of the form which follows this format y = mx + b

13. FireKat97

So thats how you have to re-arrange the equation once you sub your slope and co-ordinates in

14. anonymous

I dont know what b is though

15. anonymous

I dont get how to figure out if its 10 or 18

16. anonymous

4+3=7(2-1)

17. anonymous

Thats what i got what i plugges it in

18. anonymous

plugged*

19. anonymous

i just get 7=7

20. FireKat97

But you only need to plug in one set of the co-ordinates, so either (2, 4) or (-1, 3) into x1 and y1

21. FireKat97

Just pick the set which looks to have the "easier numbers" so smaller numbers etc

22. FireKat97

But it shouldn't matter which of the co-ordinates you choose

23. anonymous

okay so( x+3)=7(x-1)

24. FireKat97

Yup, right hand side is correct, but with the left hand side, that should be a y, not an x

25. anonymous

whoops haha

26. FireKat97

hahaha dw all good :)

27. anonymous

now what

28. anonymous

haha good!

29. FireKat97

So, now we can rearrange this equation to put it in the form of y = mx + b

30. FireKat97

so we want to move everything except the y to the right hand side

31. anonymous

Its A

32. FireKat97

yup :D

33. anonymous

Thank you!

34. FireKat97

no problem :)

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