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LUCKY_DIMON [66]
3 years ago
11

What is the equation of the line that passes through the points (-3,4) and (6,7)

Mathematics
2 answers:
inn [45]3 years ago
6 0
Y=mx+b, m=(y2-y1)/(x2-x1)

m=(7-4)/(6--3)=3/9=1/3

y=x/3 +b, now use either point to solve for b, I'll use (6,7)

7=6/3 +b

7=2+b

b=5 so our line is:

y=x/3 +5 or more neatly...

y=(x+15)/3
stellarik [79]3 years ago
6 0
The first think you have to do is find the slope. This is found by (y2-y1)/(x2-x1) using these two points, this gives a slope (m) of 1/3. This will be plugged into the point slope equation y-y1=m(x-x1) this gives an equation of y-7=1/3(x-6) or Y=1/3x+5
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Solve for x.<br><br> −5(x−4)=−30<br><br> Enter your answer in the box.
saveliy_v [14]
First divide both sides by - 5,

x - 4 = 6

Move the constant to the right side of the equation and change its sign (-4 => +4)

x = 6 + 4

Add the numbers,

x = 10

~~
I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
3 years ago
Above are two different models of the same triangular handkerchief. If the area of the model on the right is 36 sq cm, what is t
d1i1m1o1n [39]
The answer is B 12 sq cm
8 0
2 years ago
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus
ANTONII [103]

Answer:

Supplier A: 5.25 per bushel and deliver fee of 3 per bushel

Supplier B: 6.50 per busher and flat delivery fee of $1500 each week

500 bushels of grain each week.

Supplier A: 5.25x + 3x = 5.25(500) + 3(500) =  2,625 + 1,500 = 4,125

Supplier B: 6.50x + 1500 = 6.50(500) + 1500 = 3,250 + 1,500 = 4,750

Supplier B would cost more if the company buys 500 bushels of grain per week.

Step-by-step explanation:

6 0
2 years ago
4
emmasim [6.3K]

Answer:

A.    

Step-by-step explanation:

y=mx + b where m is the slope and b is the y-intercept.  So substituting 4/5 for m and 5 for b, you get answer A.

4 0
3 years ago
Describe the characteristics of a graph when systems of equations have infinitely many solutions
Ainat [17]

Answer:

Step-by-step explanation:

The easiest way to understand the answer is to consider two straight lines.

y = 3x + 6

and 2y = 6x + 12

When you graph these two lines, one will be on top of the other. That will give you an infinite number of solutions.

The answer does not depend on the two equations being straight lines. All that is required is that one graph sits on the other. So you could have a pair of  quadratics

y = x^2 + 3x + 10

2y = 2x^2 + 6x + 20

would also give you an infinite number of solutions.

4 0
3 years ago
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