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Lisa [10]
3 years ago
6

5. Write equations in slope-intercept form for three different lines that intersect at (–2, 3). Show your work.

Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer:

Equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

Step-by-step explanation:

General equation of slope intercept form : y-y_1=m(x-x_1)

We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).

(x_1,y_1)=(-2,3)

Substitute the value in the general equation

y-3=m(x+2)

Now substitute any 3 values of m

At m = -1

\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1

At m =0

\Rightarrow y-3=0 \\\Rightarrow y=3

At m =1

\Rightarrow y-3=x+2 \\\Rightarrow y=x+5

They all intersect at the given point.

So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

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Dmitrij [34]

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Step-by-step explanation:

Since we have given that

n = 238

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4 0
3 years ago
Solve 2x + 5y = –13. 3x – 4y = –8
disa [49]
If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

<span>2x + 5y = -13  /*4
3x - 4y = -8     /*5
</span>_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
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x = -92 / 23
x = -4

<span>2x + 5y = -13
</span>2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
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(x, y) = (-4, -1)

The correct result would be D.) <span>(-4, -1).</span>
8 0
3 years ago
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OleMash [197]
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\frac{3}{2} = \frac{78}{x} and then solve for x. 

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labwork [276]

Answer:

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In 763,450, the 4 is in the hundredths place.

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8 0
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