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-Dominant- [34]
3 years ago
5

Write the equation of the line in slope intercept.

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

y=5x+ 2 is already in slope intercept form (y = mx + b) with:

slope m = 5

y-intercept b = 2

Step-by-step explanation:

Nutka1998 [239]3 years ago
6 0

Answer:

y-4=5(x+1

Step-by-step explanation:

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A<br> Write the equation for<br> line that<br> passes through (1, 1) and (-1,7)
KengaRu [80]

Answer:y=-3x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,1) and (-1,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=1.

Also, let's call the second point you gave, (-1,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

-1 - 1

or...

m=

6

-2

or...

m=-3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,1). When x of the line is 1, y of the line must be 1.

(-1,7). When x of the line is -1, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (-1,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,1). y=mx+b or 1=-3 × 1+b, or solving for b: b=1-(-3)(1). b=4.

(-1,7). y=mx+b or 7=-3 × -1+b, or solving for b: b=7-(-3)(-1). b=4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,1) and (-1,7)

is

y=-3x+4

8 0
3 years ago
Who can help me?<br>please<br>Thank you​
4vir4ik [10]

The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

110-2x+x+50+5x-40=180

Simplify this.

4x+120=180

4x=60

x=15

Now we can find each angle measure.

110-2x

110-2(15)

110-30

80

x+50

15+50

65

5x-40

5(15)-40

75-40

35

So the angle labeled 110-2x is the largest angle in the triangle.

7 0
3 years ago
Read 2 more answers
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
Marina86 [1]

Answer:

The inverse of 2(x - 2)^2 = 8(7 + y) is y=\sqrt{(4x+28)}+2

Step-by-step explanation:

Given equation :2(x - 2)^2 = 8(7 + y)

\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y

Replace x with y and y with x

So, \Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2

So, Option C is correct

Hence The inverse of 2(x - 2)^2 = 8(7 + y) is y=\sqrt{(4x+28)}+2

4 0
3 years ago
What is the mean number of people in each age range? Explain
RSB [31]
To find the mean you add all the numbers then divide by how many numbers there are :

8+16+12+11+8=55

in the equation there are 5 numbers, so you divide 55 by 5 : 

55÷5=11

the mean is 11

hope this helps
3 0
3 years ago
Read 2 more answers
50 POINTS AGAIN<br> and I will give brainliest
Novosadov [1.4K]

Answer:

apple = 4

blackberry =5

Step-by-step explanation:

Let a = apple pie cost

b =blackberry pie cost

4a +9b = 61

7a +6b = 58

Multiply the first equation by 7

7(4a +9b) = 61*7

28a +63b = 427

Multiply the second equation by -4

-4(7a +6b) = 58*-4

-28a -24b = -232

Add these two new equations together to eliminate a

28a +63b = 427

-28a -24b = -232

-----------------------------

0a +39b =195

Divide each side by 39

39b/39 = 195/39

b= 5

Now we need to find a

4a +9b = 61

4a +9(5) = 61

4a +45 = 61

4a+45-45 =61-45

4a = 26

Divide by 4

4a/4 =16/4

a = 4

5 0
3 years ago
Read 2 more answers
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