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4 years ago

Find the equation of the line that passes through (-2, -5) and (1, 7).

Mathematics

1 answer:

Delvig [45]4 years ago

7 0

Answer:

$\displaystyle 4x - y = -3, -4x + y = 3\:OR\:y = 4x - 3$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{5 + 7}{2 + 1} = \frac{12}{3} = 4$

Now plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, since it is much swifter that way. It does not matter which ordered pair you choose:

7 = 4 + b

$\displaystyle 3 = b \\ \\ y = 4x + 3$

If you want it in Standard Form:

y = 4x + 3

- 4x - 4x

_________

$\displaystyle -4x + y = 3\:OR\:4x - y = -3$

_______________________________________________

−5 = 4[−2] + b

−8

$\displaystyle 3 = b \\ \\ y = 4x + 3$

If you want it in Standard Form:

y = 4x + 3

- 4x - 4x

_________

$\displaystyle -4x + y = 3\:OR\:4x - y = -3$

** You see? I told you that it did not matter which ordered pair you choose [as long your rate of change is correct] because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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Find the common ratio of the geometric sequence:

STatiana [176]

Answer:

1/2 must be answer... t2/t1 in geometric

6 0

3 years ago

Algebraic Reasoning please help!

stiv31 [10]

Answer:

$\left[\begin{array}{ccc}7\\4\\2\end{array}\right]$

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,

$\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7$

then...

$\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4$

and

$\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2$

I hope it helps.

5 0

3 years ago

4/ 5 ÷ 5/4 will give you 1 16/25 1 whole 9 / 25

vova2212 [387]

Answer:

16/25

Step-by-step explanation:

first do keep change flip

4/5 × 4/5

16/25

6 0

3 years ago

Read 2 more answers

una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

The question in English is

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$