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3 years ago

How do you rewrite y+4=-2(x-1) in slope-intercept form

2 answers:

5 0

First, distribute -2 into the parentheses which gives you y+4=-2x+2. Subtract 4 to both sides and you get y=-2x-2. This would be the slope-intercept form of the original equation.

Ludmilka [50]3 years ago

3 0

Slope Intercept Form (SIF) is the standard way to write the equation for a line on a graph. It can be represented as

y=mx+b where "m" is the slope and "b" is the y-intercept.

To put an equation in SIF, we must simply solve the equation like we are solving for y, and then order and simplify our terms.

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

There is no more simplifying to do, so this equation is y=-2x-2 in Slope Intercept Form.

You might be interested in

You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

Artemon [7]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.

For this case, what we are going to do is study each part separately.

Left diagram:
In this diagram you show three quarters of the hours.
We have then:
(3/4) * (12) = 9
Answer:
You teach 9 hours.

Right diagram:
In this diagram you teach half of the hours.
We have then:
(2/4) * (12) = 6
Answer:
You teach 6 hours

8 0

4 years ago

Find the equation of the exponential function represented by the table below:

marshall27 [118]

Answer:

$y=0.2(0.5)^x$ is the answer.

Step-by-step explanation:

Let the equation of the exponential function is,

$y=a(b)^x$

Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)

For a point (0, 0.2),

0.2 = $a(b)^0$

a = 0.2

For another point (1, 0.1),

0.1 = $0.2(b)^1$

b = $\frac{0.1}{0.2}$ = 0.5

Therefore, exponential function defined by the given table is,

$y=0.2(0.5)^x$

7 0

4 years ago

Solve it please with explanation Marty simplified the expression 2(x - 2) - 2(3) as 2x - 8. Is he correct? Explain why or why no

Kamila [148]

Answer: Marty is not correct

Step-by-step explanation:

2(x-2)-2(3) use distributive property

2x-4-6

2x-10

Marty is not correct

3 0

2 years ago

Read 2 more answers

The temple at the top of pyramid is approximately 24 meters above the ground, and there are 91 steps leading up the temple. How

slamgirl [31]

Answer:

13.187 meters

Step-by-step explanation:

Basically, there are 24 meters for every 91 steps: $\frac{24}{91}$

There are x meters for every 50 steps: $\frac{x}{50}$

$\frac{24}{91} =\frac{x}{50}$

Cross multiply

91x = 1200

Divide both sides by 91 to isolate the variable, x

91x/91 = 1200/91

x = 13.186813

7 0

3 years ago

The sum of three numbers is 54. the third number is 2 times the first. the first number is 6 more than the second. what are the

vaieri [72.5K]

Hello!

To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.

x+y+z=54
z=2x
x=6+y

We know that x is equal to 6+y. We can plug this into the second equation to find z.

z=12+2y

Now we can plug these y values into the first equation to find y.

6+y+y+12+2y=54
18+4y=54
4y=36
y=9

Now we know the value of y. We can plug this into the equations to find the other values.

x=6+9
x=15

z=15(2)
z=30

Just to check, we will add them all up and see if they equal 64.

15+9+30=54

The first number is 15, the second is 9, and the third is 30.

I hope this helps!

4 0

3 years ago