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steposvetlana [31]
3 years ago
14

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

ven equation. (2, -2); y = -x - 2
y = -2x
y = 2x
y = \frac{1}{2}x
y = -x
Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0
Y=-x
-2= -(2) That is right
kicyunya [14]3 years ago
7 0
Y=-x

Y=-x-2
M=-1
Y=-1+x
-2=(-1)x(2)+x
X=0
Y=-x
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PLEASE HELP WITH GRADE 11 MATH. Make sure you show the formula. Substitute values and show all mathematicall operations! show yo
Degger [83]

3x+y

x

​

 

=−3

=−y+3

​

The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:

\begin{aligned} 3\blueD{x}+y &= -3\\\\ 3(\blueD{-y+3})+y&=-3\\\\ -3y+9+y&=-3\\\\ -2y&=-12\\\\ y&=6 \end{aligned}

3x+y

3(−y+3)+y

−3y+9+y

−2y

y

​

 

=−3

=−3

=−3

=−12

=6

​

Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:

\begin{aligned} x &= -\blueD{y} +3\\\\ x&=-(\blueD{6})+3\\\\ x&=-3 \end{aligned}

x

x

x

​

 

=−y+3

=−(6)+3

=−3

​

The solution to the system of equations is x=-3x=−3x, equals, minus, 3, y=6y=6y, equals, 6.

We can check our work by plugging these numbers back into the original equations. Let's try 3x+y = -33x+y=−33, x, plus, y, equals, minus, 3.

\begin{aligned} 3x+y &= -3\\\\ 3(-3)+6&\stackrel ?=-3\\\\ -9+6&\stackrel ?=-3\\\\ -3&=-3 \end{aligned}

3x+y

3(−3)+6

−9+6

−3

​

 

=−3

=

?

−3

=

?

−3

=−3

​

Yes, our solution checks out.

Example 2

We're asked to solve this system of equations:

\begin{aligned} 7x+10y &= 36\\\\ -2x+y&=9 \end{aligned}

7x+10y

−2x+y

​

 

=36

=9

​

In order to use the substitution method, we'll need to solve for either xxx or yyy in one of the equations. Let's solve for yyy in the second equation:

\begin{aligned} -2x+y&=9 \\\\ y&=2x+9 \end{aligned}

−2x+y

y

​

 

=9

=2x+9

​

Now we can substitute the expression 2x+92x+92, x, plus, 9 in for yyy in the first equation of our system:

\begin{aligned} 7x+10\blueD{y} &= 36\\\\ 7x+10\blueD{(2x+9)}&=36\\\\ 7x+20x+90&=36\\\\ 27x+90&=36\\\\ 3x+10&=4\\\\ 3x&=-6\\\\ x&=-2 \end{aligned}

7x+10y

7x+10(2x+9)

7x+20x+90

27x+90

3x+10

3x

x

​

 

=36

=36

=36

=36

=4

=−6

=−2

​

Plugging this value back into one of our original equations, say y=2x+9y=2x+9y, equals, 2, x, plus, 9, we solve for the other variable:

\begin{aligned} y&=2\blueD{x}+9\\\\ y&=2\blueD{(-2)}+9\\\\ y&=-4+9 \\\\ y&=5 \end{aligned}

y

y

y

y

​

 

=2x+9

=2(−2)+9

=−4+9

=5

​

The solution to the system of equations is x=-2x=−2x, equals, minus, 2, y=5y=5y, equals, 5.

5 0
2 years ago
How would you graph y=| x-2|-4
AVprozaik [17]
To graph ty function simply make a table of values, where you choose any value for x and substitute that value in the function.

Then take the absolute value of the expression in the square bracket.

It is always positive, the absolute value of -6 is 6 etc.

Then graph the resulting points.

Another way to do it is simply draw the graph of y = |x| then move it 2 spaces to the right and 4 spaces down, I believe.
4 0
3 years ago
If f(x)=6x^2-4 what is f(-1)
Nana76 [90]

Answer:

2

Step-by-step explanation:

3 0
2 years ago
Missy bought a skateboard for $49.50 with a discount of 15% and a helmet for $37.60. The sales tax on both items was 6%. If she
kirill [66]

Answer:

$18.72

Step-by-step explanation:

15% of $49.50 is $7.42

$49.50 - $7.42 = $39.08

$39.08 + $37.60 = $76.68

6% of $76.68 is $4.60

$76.68 + $4.60 = $81.28

$100 - $81.28 = $18.72

7 0
3 years ago
The product of 4x and 0 is​
Alborosie

Answer:

0

Step-by-step explanation:

any thing that is multiplied by 0 will be 0

8 0
3 years ago
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