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3 years ago

Write the equation of a line in point-slope form that has a slope of -1 and passes through the point (-2, 5).

2 answers:

8 0

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -2}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies -1
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=5\\
x_1=-2\\
m=-1
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

Mariana [72]3 years ago

8 0

*Hint: The point-slope form of an equation. is written as (y - y1) = m (x - x1) and y1 and x1 would represent the ordered paired you plug in.

Therefore, you just plug in the slope and ordered pair to get the equation.

(y - 5) = -1 (x + 2)

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What is 8 square root of 3 divided by 2? no decimals, ill mark brainlist.

katovenus [111]

2.828
Step-by-step explanation:
Given : Number = 8
To Find : find the square root of 8 upto 2 decimal places
Solution :
We are supposed to find the square root of 8
Group the digits into pairs
For digits to the left of the decimal point, pair them from right to left.
For digits after decimal point, pair them from left to right).
So, we have , 08
Refer the attached figure for further steps
√8 = 2.828
Hence the square root is 2.828
Since , you asked for 2 decimal places so the answer is:
Answer:
2.82
Step-by-step explanation:
√8=2*√2= 2*1.41= 2.82

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Answer:
2.828 is the answer...

3 0

3 years ago

Read 2 more answers

A line intersects the points(-22,-14) and (-18,-12). What is the slope-intercept equation for this line?

zaharov [31]

Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

$\frac{y_{2} - y_{1} }{x_{2} -x_{1} }$

Now using the two given points we are going to plug in and solve:

$\frac{(-12)-(-14)}{(-18)-(-22)}$ = $\frac{2}{4}$ = $\frac{1}{2}$

From this you know that $\frac{1}{2}$ is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

(-14) = $\frac{1}{2}$ (-22) + b

(-14) = (-11) + b

-3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

y = $\frac{1}{2}$ - 3

Hope I helped,

Amna

6 0

3 years ago

Given z=4+3i evaluate z

DerKrebs [107]

Answer:

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

$|x + yi| = \sqrt{ {x}^{2} + {y}^{2} }$

$|4+ 3i| = \sqrt{ {4}^{2} + {3}^{2} }$

$|4+ 3i| = \sqrt{ 16+ 9 } \\ |4+ 3i| = \sqrt{25 } \\ |4+ 3i| = 5$

Therefore the modulus be of the given complex number is 5 units

5 0

3 years ago

Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero

fomenos

Correct Question:

Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero's expression?.

a. It is accurate. The phrase can be translated as "three" = 3, "less than" = subtraction, and "a number" = X, SO 3- X is the correct expression.

b. It is inaccurate. Three is being subtracted from a number, so X-3 is what he should have written.

c. It is inaccurate. Three is being compared to a number, so 3 It is inaccurate. Three is being added to a number, so 3+ x is what he should have written.

Answer:

The answer is B because three less than a number means that a 3 is less than some number X meaning three is being subtracted from X. So equation should be X-3 rather than 3-X.

Step-by-step explanation:

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3 years ago

Macs hotel had 128 rooms, and 25% of the rooms in the hotel did not have an ocean view. Write an expression to find the total nu

GarryVolchara [31]

There are 103 hotel rooms that have ocean views.

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3 years ago