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Sedaia [141]
3 years ago
9

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Mathematics
1 answer:
MissTica3 years ago
7 0
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{1 - (-4)}{5 - 3} = \frac{1 + 4}{2} = \frac{5}{2} = 2\frac{1}{2} \\\\y - y_{1} = m(x - x_{1}) \\y - (-4) = 2\frac{1}{2}(x - 3) \\y + 4 = 2\frac{1}{2}(x) - 2\frac{1}{2}(3) \\y + 4 = 2\frac{1}{2}x - 7\frac{1}{2} \\y = 2\frac{1}{2}x - 11\frac{1}{2}
You might be interested in
Only the circled ones
ozzi
2.

M must be (0,0) since it coincides with the origin
R must be (a+b, √(a²-b²)).
The x-coordinate is b from A translated to the right by a.
The y-coordinate is the same as A.

(I think the square root is there to confuse you).

3.

R(0,0)
C(a,b) (same x as T, same Y as E)

5.

Not sure how to prove that.

5 0
3 years ago
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th
allochka39001 [22]

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

6 0
3 years ago
What is the first step to writing an equation of a line when given two points?
Alisiya [41]
Find the slope of the line using the two points by plugging them into this formula: m = y2 - y1 / x2 - x1 where the two points are x1, y1 and x2, y2 and m is the slope. 
3 0
3 years ago
Put these numbers in order from least to greatest.
Harman [31]

Answer:

-12/30,   7/35,   3

Step-by-step explanation:

its the correct order

5 0
3 years ago
Read 2 more answers
Enter the value of P so that the expression 4(10+n) is equivalent to 4(n+p)
Paraphin [41]

Answer:

I think it is 10

Step-by-step explanation:

Only because I believe n is still unknown and 4 must be multiplied

example

4(10 + n)

40 + 4n

now if P = 10

4(n + p)

4(n + 10)

4n + 40

8 0
3 years ago
Read 2 more answers
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