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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

Mathematics
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First write the equation of the line in point slope form and then rearrange it.
ok one sec

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Other answers:

Point slope form is: \[y-y _{1}=m(x-x _{1})\]
y-(-3)=1/2x-(-1
i have a few others i need help with
i did that what is next i put it in to standard form but it never matches up with the answers they give you
\[y+2=\frac{1}{2}(x+2)\]
how did you get 2, the y value is -3
can you just do all the steps up to the last one and i can find the answer then
typo
ok thats what i thought
\[y+3=\frac{1}{2}(x+2)\] \[y+3=\frac{1}{2}x +1\] \[\frac{1}{2}x-y=2\]
Or sometimes they want it without fractions in which case it would be: \[x-2y=4\]
so the answer is x-2y=4
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
Did you plug in 2 for x and -3 for y and see which one is true?
i don't know what i am looking for though
-3>-2-2, -3>-4 Well shazam!! the very first one is true.
ha ha i was right that is what i thought it was 2 more
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?
Do you know that parallel lines have the same slope?
So this is just like the first one with slope = -4
so it would look like y-(-2)=-4(x-3)
\[y+2=-4(x-3)\]
yep. Now rearrange it.
-5x+y=14 is that the answer
\[y+2=-4x+12\] \[4x+y=10\]
one more
acctually 2 more
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?
What is the slope of y = x+1?
1
\[y+1=2x-3\]
\[y=2x-4\]
is that the answer
You didn't answer my question. what is the slope of y=x+1?
1
Then what is the slope of the perpendicular?
Hint. It is the negative reciprocal of 1
-1
ok. Now use point slope form and plug in the given point and the slope -1
alright one sec
y+1=-2x+3
\[y+1=-1(x-3)\] y+1=-x+3 \[y=-x+2\]
y=x+2 is the answer
Did you notice the negative sign in front of the x?
What is the vertex of the graph of y = |x - 2|- 5? last one
yes typo
Remember...the slope of the perpendicular is -1
(2,-5)
one more
never mind thank you so much

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