Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.

Answers

Answer 1

Answer: let m be the slope and b the y-intercept.

m=(y₂-y₁)/(x₂-x₁)

m= (-1-4)/(-5-(-4))

m= 6

y=mx+b

4=6(-4)+b

b=28

y=6x+28

(-2,4)

parallel means the slopes are the same:

4=6(-2)+b

4=-12+b

b=16

y=6x+16

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Write an equation of the line below.

Answers

Answer:

y=1x+2

Step-by-step explanation:

the gradient is equal to 1 and the c in the question is 2 because the y-intercept represents c.

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

To convert drams to grams, multiply the number of drams by which number?

Answers

"Dram" is a unit of volume, whereas "gram" is a unit of mass.
They can't be directly converted. If they both refer to a sample
of some substance, then the conversion depends on the density
of the substance. All we can say for sure by way of an answer is:
To change 'drams' to 'grams', replace the 'd' with 'g'.

Suppose that you could replace the ordered pair(1.4) to make the relation R (shown left) into a
function. Which ordered pair would work?
O (1,2)
(-1,4)
O (23)
(4, 15)
DONE

Answers

Answer:

This is incomplete, but i will answer it in a general way.

A function is something like y = f(x)

You can think in a function like a "machine", that eats an input (x) and transforms it into an output (y).

The functions have a rule: For all the possible inputs, the function can transform them into only one output.

This means that if we have for an input x1.

f(x1) = y1 and f(x1) = y2

So f(x) maps x1 into two different values, y1 and y2, then this is not a function.

Now, you want to change the point (1, 4) of a relationship in order to transform it into a function (so in the relation R we have two points with x = 1, and differet values of y). Then you need to choose the option that in the x-component does not have the same value that one of the other data points of the relation.

Convert: 16 square kilometers to acres

Answers

16 square kilometers is 3953.6861 acres.

A. Linear PairB. Reflexive Property
C Vertical Angles are congruent
D. Alternate Interior Angles are Congruent
E. Given

Answers

C. Vertical angles are congruent

Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?