## roberman228 2 years ago What is the equation in standard form of the line which passes through (-2, -3) and has a slope of 1/2? Give a medal to first that answers

1. roberman228

@Mertsj

2. Mertsj

First write the equation of the line in point slope form and then rearrange it.

3. roberman228

ok one sec

4. Mertsj

Point slope form is: $y-y _{1}=m(x-x _{1})$

5. roberman228

y-(-3)=1/2x-(-1

6. roberman228

i have a few others i need help with

7. roberman228

i did that what is next i put it in to standard form but it never matches up with the answers they give you

8. Mertsj

$y+2=\frac{1}{2}(x+2)$

9. roberman228

how did you get 2, the y value is -3

10. roberman228

can you just do all the steps up to the last one and i can find the answer then

11. Mertsj

typo

12. roberman228

ok thats what i thought

13. Mertsj

$y+3=\frac{1}{2}(x+2)$ $y+3=\frac{1}{2}x +1$ $\frac{1}{2}x-y=2$

14. Mertsj

Or sometimes they want it without fractions in which case it would be: $x-2y=4$

15. roberman228

16. roberman228

To which graph does the point (2, -3) belong? Choose one answer. a. y > -x - 2 b. y > -x - 1 c. y > -2x + 3 d. y > -3x + 5 here is another i need help with

17. Mertsj

Did you plug in 2 for x and -3 for y and see which one is true?

18. roberman228

i don't know what i am looking for though

19. Mertsj

-3>-2-2, -3>-4 Well shazam!! the very first one is true.

20. roberman228

ha ha i was right that is what i thought it was 2 more

21. roberman228

What is the equation of the line in standard form that passes through the point (3, -2) and is parallel to the line y = -4x + 1?

22. Mertsj

Do you know that parallel lines have the same slope?

23. Mertsj

So this is just like the first one with slope = -4

24. roberman228

so it would look like y-(-2)=-4(x-3)

25. Mertsj

$y+2=-4(x-3)$

26. Mertsj

yep. Now rearrange it.

27. roberman228

28. Mertsj

$y+2=-4x+12$ $4x+y=10$

29. roberman228

one more

30. roberman228

acctually 2 more

31. roberman228

What is the equation of the line in slope-intercept form that passes through the point (3, -1) and is perpendicular to the line y = x + 1?

32. Mertsj

What is the slope of y = x+1?

33. roberman228

1

34. roberman228

$y+1=2x-3$

35. roberman228

$y=2x-4$

36. roberman228

37. Mertsj

You didn't answer my question. what is the slope of y=x+1?

38. roberman228

1

39. Mertsj

Then what is the slope of the perpendicular?

40. Mertsj

Hint. It is the negative reciprocal of 1

41. roberman228

-1

42. Mertsj

ok. Now use point slope form and plug in the given point and the slope -1

43. roberman228

alright one sec

44. roberman228

y+1=-2x+3

45. Mertsj

$y+1=-1(x-3)$ y+1=-x+3 $y=-x+2$

46. roberman228

47. Mertsj

48. roberman228

What is the vertex of the graph of y = |x - 2|- 5? last one

49. roberman228

yes typo

50. Mertsj

Remember...the slope of the perpendicular is -1

51. Mertsj

(2,-5)

52. roberman228

one more

53. roberman228

never mind thank you so much