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

- anonymous

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- anonymous

@Mertsj

- Mertsj

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

- anonymous

ok one sec

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## More answers

- Mertsj

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

- anonymous

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

- anonymous

i have a few others i need help with

- anonymous

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

- Mertsj

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

- anonymous

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

- anonymous

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

- Mertsj

typo

- anonymous

ok thats what i thought

- Mertsj

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

- Mertsj

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

- anonymous

so the answer is x-2y=4

- anonymous

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

- Mertsj

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

- anonymous

i don't know what i am looking for though

- Mertsj

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

- anonymous

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

- anonymous

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?

- Mertsj

Do you know that parallel lines have the same slope?

- Mertsj

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

- anonymous

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

- Mertsj

\[y+2=-4(x-3)\]

- Mertsj

yep. Now rearrange it.

- anonymous

-5x+y=14 is that the answer

- Mertsj

\[y+2=-4x+12\]
\[4x+y=10\]

- anonymous

one more

- anonymous

acctually 2 more

- anonymous

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?

- Mertsj

What is the slope of y = x+1?

- anonymous

1

- anonymous

\[y+1=2x-3\]

- anonymous

\[y=2x-4\]

- anonymous

is that the answer

- Mertsj

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

- anonymous

1

- Mertsj

Then what is the slope of the perpendicular?

- Mertsj

Hint. It is the negative reciprocal of 1

- anonymous

-1

- Mertsj

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

- anonymous

alright one sec

- anonymous

y+1=-2x+3

- Mertsj

\[y+1=-1(x-3)\]
y+1=-x+3
\[y=-x+2\]

- anonymous

y=x+2 is the answer

- Mertsj

Did you notice the negative sign in front of the x?

- anonymous

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

- anonymous

yes typo

- Mertsj

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

- Mertsj

(2,-5)

- anonymous

one more

- anonymous

never mind thank you so much

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