A line with slope 3 passes through the points( 5,2)and (9,y) Find y

Answers

Answer 1

Answer:

The ormula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (5, 2) and (9, y) and the slope m = 3.

Substitute:

$(y-2)/(9-5)=3\n\n(y-2)/(4)=3\qquad\text{multiply both sides by 4}\n\ny-2=12\qquad\text{add 2 to both sides}\n\n\boxed{y=14}$

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Can someone help me with number 2. Please explain your answer.

Answers

4x+y = 20
3x+y = 2
4x+y-3x-y = 20-2
x = 18

3x+y = 2
3.18 + y = 2
54 + y = 2
y = -52

The table shows values for points on the graph of a linear function. x −2 1 2 4 y 13 1 −3 −11 What is the slope of the graph of this linear function?

Answers

You can find the slope of a linear function by taking two points and finding the change in y over change in x.

Hm, but the values you gave for the tables don't make sense for a linear function/relationship. But let's just pick two points as an example.

So two points you can pick are (-2, 13) and (1, -3).
The slope, change in y over change in x is in other words (y2 - y1 / x2 - x1), where (x1, y1) is one point and (x2, y2) is another.

(-3 - 13) / (1 - -2) = -16/3 = -(16/3)

Or you could have switched up the order of those coordinates but you still get the same answer.
(13 - -3) / (-2 - 1) = 16 / (-3) = -(16/3)

What is 2t ^ 3 + 6t ^ 2 - 80t in completely factored form ?

Answers

Answer:

The completely factored from

Step-by-step explanation:

is 20

Suppose one Euro is worth $1.41 in U.S. What is the better buy for a book, 8 Euros or 11.00 U.S.?

Answers

The answer is $11.00 U.S. is a better buy.

$1.41 that a Euro is worth x 8 books =$11.28 cost of books comparing to Euro value

Which number is between 0.5 and 5 over 8?

Answers

.5-.625, C=.5625 therefore C would be the answer. I found this by taking all of the fractions and dividing the numerator by the denominator and then lining up all of the decimals till one worked out.
Hope it works

The price of dress fabric is proportional to the length of fabric purchased. The graph shows this relationship.What is the unit rate for the situation?

A.
dollar/m

B.
$3/m

C.
$8/m

D.
$24/m

Answers

C. $8/1 m
the y axis (going up) is price.the x axis (going to the left) is the length.
the 1st point is the unit rate. 1 meter is $8, 2 meters is $16. 3 meters is $24...and so on.
the unit rate wont work with all graphs this is a lucky problem. reading this graph is still the same tho.

C. 8$/m. The rate is the same as the slope. To find the slope, we find "rise over run," or the change in the height/change in length (OR, change y/ change x)
The change in y is 24-8=16
The change in x is 3-1=2

16/2= 8$/1 m. This is the unit rate because it describes the change in y over ONE UNIT of x.

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