Question

What is the slope of
3x + 2y = 12?

Answer 1

I write your equation as below:
\[y=-\frac{ 3 }{ 2 }x+6\]
which is equivalent to your equation
so your slope is -3/2

Answer 2

Thank you! Can you help me with some more?

Answer 3

yes! sure!

Answer 4

-3/2 in standart form divide coefficent with x by the coefficent with y and palce an opposite sing from song with oeefiicent of y

Answer 5

ax+by=c
sloe is -a/b

Answer 6

If (x, 4) and (2, -1) are 2 points on a line and the slope is ½ , what is the value of x?

Answer 7

also
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Answer 8

THe slope is 1/2

Answer 9

by definition, slope is:
\[\frac{ -1-4 }{ 2-x }=\frac{ 1 }{ 2 }\]

Answer 10

solving that equation, we have:
-6=2-x
then
x=8
is it right?

Answer 11

sorry, I've made an error:
-10=2-x
so:
x=12

Answer 12

is it right?

Answer 13

It's on an extra credit assignment so I don't know

Answer 14

as you answer the questions it spells out a word

Answer 15

What would be the slope of any line perpendicular to
3x + 2y = 10?

Answer 16

Can you do that one?

Answer 17

I think x=12, is right, because I got it using another method.

Answer 18

Twelve is on here as an answer to one of these so it probably is right

Answer 19

the slope of your equation, is:
divide by 2 both sides of your equation, namely:
\[\frac{ 3 }{ 2 }x+y=5\]
then:
\[y=-\frac{ 3 }{ 2 }x+5\]
so: your slope =-3/2

Answer 20

If a line has a slope of 2 and passes through (4, -1), what is the y-int?

Answer 21

I apply this formula:
\[y-y _{1}=m(x-x _{1})\]
where:
(x_1,y_1)=(4,-1)
so:
\[y-(-1)=m(x-4)=mx-4m\]
then:
\[y+1=mx-4m\]
finally:
\[y=2*x-4*2-1\]
\[y=2x-9\]

Answer 22

so if x=0, then y=9

Answer 23

sorry, if x=0, then y=-9

Answer 24

What is the slope of y = 3?

Answer 25

y=3 is this line:

your line is an horizontal line, so slope =0

Answer 26

If the slope of a line is -5 and it passes through (-2, 0), what is the y-int?

Answer 27

I write the equation of your line:

Answer 28

\[y-0=m(x-(-2))=m(x+2)=(-5)*(x+2)=-5x-10\]
so:
\[y=-5x-10\]
and
if x=0, then y=-10

Answer 29

What is the slope of the line that passes through (-1, 3) and (5, 0)?

Answer 30

I'm terrible at math, sorry for all these questions I just can't do it

Answer 31

by definition, slope is:
\[slope=\frac{ y _{2} -y _{1}}{ x _{2}-x _{1} }\]
where (x_1,y_1) and (x_2,y_2) are your points. SO, after substituting, we have:
\[slope=\frac{ 0-3 }{ 5-(-1) }=\frac{ -3 }{ 6 }=-\frac{ 1 }{ 2 }\]

Answer 32

oops ...So..., and not SO...

Answer 33

What is the y – int?
y – 4 = 1/2 (x + 4)

Answer 34

y-4=1/2 (x+4)

Answer 35

we have to write your equation in the form: y=mx+n
so:
\[y-4=\frac{ x }{ 2 }+2\]
then:
\[y=\frac{ x }{ 2 }+6\]
finally, if x=0, then y=6

Answer 36

E What is the x-int of
-1/2 x - 7y = -14?

Answer 37

if we set y=0, then we have:
\[-\frac{ 1 }{ 2 }x-7*0=-14\]
\[-\frac{ 1 }{ 2 }x=-14\]
multilying both sides by (-2):
\[(-2)*-\frac{ 1 }{ 2 }x=-14*(-2)\]
finally:
\[x=28\]

Answer 38

What would be the slope of any line parallel to
y + 3 = -2(x – 1)?

Answer 39

(x-1)

Answer 40

I rewrite your equation as below:
y+3=-2x+2
y=-2x+2-3
y=-2x-1
so you initial line has a slope =-2.
Now, please, you have to keep in mindthat parallel lines have the same slope, so all parallel lines, to your initial line have to have the slope=-2

Answer 41

please, note taht a slope can not contain the independent variable, namely x

Answer 42

Thank you! I don't have much more I promise

Answer 43

Put y + 2 = 3(x – 4) in standard form. What is the constant term?