A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.

Answers

Answer 1

Answer:

y = x+4

Step-by-step explanation:

First, we find the slope

m = (y2-y1)/(x2-x1)

m = ( 9-7)/(5-3)

    = 2/2

   =1

Slope intercept form of a line is y = mx+b  where m is the slope and b is the y intercept

y = 1x+b

Using one of the points

7 = 1*3+b

7 = 3+b

4=b

y = x+4


Related Questions

I need to find the missing angles

Answers

Can you explain well

The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3

Answers

Answer:

87

Step-by-step explanation:

difference = 7

A1 = 3

so let's imagine this arithmetic sequence as

3, 10, 17, 24 etc....

mathematically the sequence can be described as

An = a1 + (n - 1) d

A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87

x−6y=−13
7x+2y=41
find the x and y value

Answers

Answer:

X=5

Y=3

(5,3)

Step-by-step explanation:

Solve using substitution

Write an equation of the line that passes through the points (3,6) and (4,9)

Answers

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

In the accompanying diagram, overline BA perp overline BD and overline BC perp overline BE Which statement is true?

Answers

The measure of angle 1 is equal to angle  3

From the diagram, if BA is perpendicular to BD, then;

m<1 + m<2 = 90 degrees

Similarly, if BC is perpendicular to BE, then;

m<2 + m<3 = 90 degrees

Equating both expressions will give:

m<1 + m<2 = m<2 + m<3

Subtract m<2 from both sides

m<1 + m<2 - m<2=  m<2 + m<3 - m<2

m<1 = m<3

Hence the measure of angle 1 is equal to angle  3

learn more on perpendicular lines here: https://brainly.com/question/1202004

Please help me out



Fill in the blanks for this graph



1. This graph crosses the y-axis at______



2. The graph increases in the interval_____



3. The graph decreases in the interval____

Answers

1. (0, -5)
2. (4, -5)
3. (-5, 0)

1. This graph crosses the y-axis at 0, -5
2. The graph increases in the interval 4, -5
3. The graph decreases in the interval -5, 0

What type of triangle is this?
5
7
8
acute
obtuse

Answers

Answer:

Acute

Step-by-step explanation:

The triangle is is acute

Calculate 18.75 x 11.54 a) exact value b. corrected to 1 d.p c. corrected to 2 s.f

Answers

Step-by-step explanation:

18.75 x 11.54

= 216.375

216.375 is the correct answer

Brendan says that the negative of - 1/3
is 3 because they are on ​opposite sides of zero when they are plotted on the number line.

​Is Brendan correct? Explain your answer.

Answers

Answer:

No! Brendan has totally got the wrong idea.

Step-by-step explanation:

Numbers on the right hand side of zero are said to be positive, while, the numbers on the opposite side are said to be negative.

That means Brendan's correct in saying that -1/3 lies on the opposite side of 3, since negative numbers lie on the opposite side of the positives.

But,

Negative "of" a number is the same number with opposite sign.

That is, if a number is 3 units away from the zero, it's negative will also be 3 units away from zero, but on the opposite side.

-1/3 and 3 do not lie at the same distance from zero.

-1/3 would be approached before -1 by walking in the negative direction whereas 3 would be approached after 1.

Therefore, Brendan is wrong as the negative of a number has opposite sign but same "magnitude".

If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?

18

2

1 half

1
6

Answers

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

Answer:

18

Step-by-step explanation:

c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.

Answers

Answer:

steps below

Step-by-step explanation:

h = 5t² + 8t + 3

5t² + 8t + (3-h) = 0

** ax²+bx+c=0       x= (-b±√b²-4ac)/2a

[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex]   ..... h≥3 to make t≥0


If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answers

Answer:

23 days

Step-by-step explanation:

Given,

No. of days taken by Jenny to read 7 books

= 8

So,

No. of days taken by her to read 1 book

[tex] = \frac{8}{7} [/tex]

Therefore,

No. of days taken by her to read 20 books

[tex] = \frac{8}{7} × 20 [/tex]

[On Simplification]

[tex] = \frac{160}{7} [/tex]

[On dividing]

= 22.85.....

[On approximating]

= 23 days (approx. )

Hence,

Jenny will take 23 days to read 20 books (Ans)

Question:-

If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answer:-

22.85714 or 23 days

Explanation:-

[tex]GIVEN,[/tex]

Number of books Jenny can read in 8 days = 7

[tex]NOW,[/tex]

Number of days taken by Jenny to read 1 book = [tex] \frac{8}{7} [/tex]

Number of days taken by her to read 20 books =

→ [tex]20 \times \frac{8}{7} [/tex]

→ [tex] \frac{160}{7} [/tex]

22.85714 or 23 days

please help!!! Anyone know this? Thanks!!!!!!!

Answers

Answer:

[tex]i\sqrt4 ~ \text{and} ~ 2i[/tex]

Step-by-step explanation:

[tex]\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i[/tex]

equivalent expression for: 3(1-7)

Answers

Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

Help with number 3 please

Answers

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form

Mrs. Palmer's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

Answer:

2 cups

Step-by-step explanation:

if she uses 1/2 cup of oil per 1 cup of peanut butter

then she should use the ratio PB(peanut butter)= 2O(oil)

so if oil is 1 then PB must be 2 cups

how many 2 digit combos can you make with numbers 1, 2, and 3?

Answers

Answer:

9 i believe

Step-by-step explanation:

11

12

13

21

22

23

31

32

33

Work out
m
and
c
for the line:
3
x
+
2
y

1
=
0

Answers

Answer:

M = -3/2

C = 1/2

Explanation:

3 x + 2 y − 1 = 0

-> 2y = 1-3x

y=-3/2x+1/2

so M = -3/2 and C = 1/2

Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.

Answers

Answer:

Step-by-step explanation:

The answer is 27

The value of x is 4.

What is the perimeter of a triangle?

The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The triangle has a perimeter of 73.

[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]

Learn more about triangles here https://brainly.com/question/2938476

#SPJ2

Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points)

Answers

Part A :

Rate of shipping per pound of stuffed animal = $0.75

Therefore total cost for P pounds = C = 0.75 P

Cost of shipping 2 pounds of stuffed animals = 0.75*2 = $1.50

Part B :

If the cost is reduced by $0.05 per pound then the reduced cost per pound = 0.75 - 0.05 = $0.70

Therefore total reduced cost for P pounds = C = 0.70 P

Answer:

i think the person on top of me is correct :)

Step-by-step explanation:


Serious help needed what is the domain and range

Answers

Answer:

domain: all real numbersrange: -1 ≤ y ≤ 5   or   -1 ≤ y < ∞

Step-by-step explanation:

The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.

__

The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...

the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞

We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.

The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.

_____

Additional comment

The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.

The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.

Answers

Answer : 52 boys : 26 girls

Step - by - step explanation :

Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .

26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls

52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D

X-Y=9 and 2X+5Y=4 solve by substitution

Answers

Answer:

(7,-2)

Step-by-step explanation:

Answer:

(7, - 2 )

Step-by-step explanation:

x - y = 9 ( add y to both sides )

x = y + 9 → (1)

2x + 5y = 4 → (2)

Substitute x = y + 9 into (2)

2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side

2y + 18 + 5y = 4

7y + 18 = 4 ( subtract 18 from both sides )

7y = - 14 ( divide both sides by 7 )

y = - 2

Substitute y = - 2 into (1)

x = - 2 + 9 = 7

solution is (7, - 2 )

is y=3x^2+2 a linear function

Answers

Answer: No!

Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.

Hope this helps :)

No.

y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.

This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.

_____

Hope it helps ⚜

can anybody help me with this?​

Answers

Answer:

a) 3.6 × 10²

Time = distance / speed

So time = 1.08 × 10⁸ / 3 × 10⁸

= 1.08 × 10¹¹ / 3 × 10⁸ ( converted 10⁸ km to meter )

= 1.08 × 10³ / 3

= 0.36 × 10³

. = 3.6 × 10²

Time = 3.6 × 10²

Solve the inequality:
12+x≥3(x-6)​

Answers

Hello there! :)

The first step is to use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's distribute 3, using this property:

3(x-6)=3x-18

Now, our inequality looks like so:

12+x≤3x-18

The next step is to move the variables to the left, using the opposite operation:

12+x-3x≤-18

12-2x≤-18

Now, move all the numbers to the right, using the opposite operation:

-2x≤-18-12

-2x≤-30

Divide both sides by -2 to isolate x.

Remember that when we divide by a negative variable, we change the inequality sign:

x≥15

Therefore, x≥15

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Please help me, you can see the parabola down below. Please.

Determine the equation of the parabola in Vertex Form. Work must be shown.

Answers

Answer:

let me check....

Step-by-step explanation:

Can u please help answer 9 and 10 please

Answers

Answer:

  9. 23

  10. D

Step-by-step explanation:

9.

In order to make the equation true, the blank must contain 23.

That statement, however, is an example of the commutative property of addition. The symmetric property says if a = b, then b = a.

__

10.

Your calculator can tell you which expressions are equivalent to 25·18. Clearly, the sum in choice D is not a product that will be equivalent.

WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT

Answers

Answer: As x increases, the slope of the graph increases.

I will Need the link

Which expression is equivalent to 10 ( – 5 x + 3) – 2x

Answers

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Answer:-52x + 30 is the evaluated expression.Step-by-step explanation:10(-5x + 3) - 2x=> -50x + 30 - 2x=> -52x + 30Conclusion:

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

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