## roberman228 Group Title 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 one year ago one year ago

1. roberman228 Group Title

@Mertsj

2. Mertsj Group Title

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

3. roberman228 Group Title

ok one sec

4. Mertsj Group Title

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

5. roberman228 Group Title

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

6. roberman228 Group Title

i have a few others i need help with

7. roberman228 Group Title

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 Group Title

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

9. roberman228 Group Title

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

10. roberman228 Group Title

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

11. Mertsj Group Title

typo

12. roberman228 Group Title

ok thats what i thought

13. Mertsj Group Title

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

14. Mertsj Group Title

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

15. roberman228 Group Title

16. roberman228 Group Title

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 Group Title

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

18. roberman228 Group Title

i don't know what i am looking for though

19. Mertsj Group Title

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

20. roberman228 Group Title

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

21. roberman228 Group Title

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 Group Title

Do you know that parallel lines have the same slope?

23. Mertsj Group Title

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

24. roberman228 Group Title

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

25. Mertsj Group Title

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

26. Mertsj Group Title

yep. Now rearrange it.

27. roberman228 Group Title

28. Mertsj Group Title

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

29. roberman228 Group Title

one more

30. roberman228 Group Title

acctually 2 more

31. roberman228 Group Title

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 Group Title

What is the slope of y = x+1?

33. roberman228 Group Title

1

34. roberman228 Group Title

$y+1=2x-3$

35. roberman228 Group Title

$y=2x-4$

36. roberman228 Group Title

37. Mertsj Group Title

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

38. roberman228 Group Title

1

39. Mertsj Group Title

Then what is the slope of the perpendicular?

40. Mertsj Group Title

Hint. It is the negative reciprocal of 1

41. roberman228 Group Title

-1

42. Mertsj Group Title

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

43. roberman228 Group Title

alright one sec

44. roberman228 Group Title

y+1=-2x+3

45. Mertsj Group Title

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

46. roberman228 Group Title

47. Mertsj Group Title

48. roberman228 Group Title

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

49. roberman228 Group Title

yes typo

50. Mertsj Group Title

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

51. Mertsj Group Title

(2,-5)

52. roberman228 Group Title

one more

53. roberman228 Group Title

never mind thank you so much