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Anestetic [448]
3 years ago
9

How do I find the point of intersection?

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

<u>Red Line</u>:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

<em>equation:  y = -x + 1</em>

<u>Blue Line</u>:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

<em>equation:  y = 2/3x + 11/3</em>

<u>Find Point of Intersection</u>:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5

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Step-by-step explanation:

You can check your work by doing 5 squared!

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Step-by-step explanation:

7 0
3 years ago
What is 209 hundredths as a decimal
vredina [299]
♥ <span>209 hundredths
♥ 209/100
♥ 2.09</span>
5 0
4 years ago
Read 2 more answers
What is the answer???
vagabundo [1.1K]

Answer:

3. \displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9

2. \displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1

1. \displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3

Step-by-step explanation:

−2x - y = 9

x-intercept → Plug in 0 for <em>y</em><em> </em>to get −4½ for <em>x</em>

y-intercept → Plug in 0 for <em>x</em><em> </em>to get −9 for <em>y</em>

−2x - y = 9

+ 2x + 2x

_________

\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}

\displaystyle y = -2x - 9 →<em>Slope-Intercept</em><em> </em><em>Form</em>

_______________________________________________

x + 5y = 5

x-intercept → Plug in 0 for y to get 5 for x

y-intercept → Plug in 0 for x to get 1 for y

x + 5y = 5

- x - x

_________

\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}

\displaystyle y = -\frac{1}{5}x + 1 →<em>Slope-Intercept Form</em>

_______________________________________________

3x - 4y = 12

x-intercept → Plug in 0 for y to get 4 for x

y-intercept → Plug in 0 for x to get −3 for y

3x - 4y = 12

- 3x - 3x

_________

\displaystyle \frac{-4y}{-4} = \frac{-3x + 12}{-4}

\displaystyle y = \frac{3}{4}x - 3 →<em>Slope-Intercept Form</em>

I am joyous to assist you anytime.

4 0
4 years ago
God bless everyone (ㆁωㆁ)
beks73 [17]
૮₍˶ᵔ ᵕ ᵔ˶₎ა
God bless you too
7 0
3 years ago
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