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AnnZ [28]
3 years ago
6

Solve the system of equations for -2x+2y=4

Mathematics
1 answer:
Greeley [361]3 years ago
8 0
You need another equation to be able to solve this
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Write the equation of the line that passes through
Gnom [1K]

Answer:

y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1} where two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 2) and (6, 3):

m=\frac{\displaystyle 3-2}{\displaystyle 6-(-1)}\\\\m=\frac{\displaystyle 3-2}{\displaystyle 6+1}\\\\\m=\frac{\displaystyle 1}{\displaystyle 7}

Therefore, the slope of the line is \frac{\displaystyle 1}{\displaystyle 7}. Plug this into y=mx+b:

y=\frac{\displaystyle 1}{\displaystyle 7}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\frac{\displaystyle 1}{\displaystyle 7}x+b

Plug in one of the given points and solve for <em>b</em>:

2=\frac{\displaystyle 1}{\displaystyle 7}(-1)+b\\2=-\frac{\displaystyle 1}{\displaystyle 7}+b

Add \frac{\displaystyle 1}{\displaystyle 7} to both sides to isolate <em>b</em>:

2+\frac{\displaystyle 1}{\displaystyle 7}=-\frac{\displaystyle 1}{\displaystyle 7}+b+\frac{\displaystyle 1}{\displaystyle 7}\\\\\frac{\displaystyle15}{\displaystyle 7} =b

Therefore, the y-intercept of the line is \frac{\displaystyle15}{\displaystyle 7}. Plug this back into y=\frac{\displaystyle 1}{\displaystyle 7}x+b:

y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}

I hope this helps!

3 0
4 years ago
I dont get this problem, could you explain it to me? P/3 plus (-7) = 5don't get this problem, could you explain it to me? P/3 ➕
LekaFEV [45]

Answer:

Step-by-step explanation:

Okay so first you have to get rid of the -7

P/3 ➕ (-7) = 5. Add 7 to both sides because that the opposite of subtracting

p/3= 5+7=12

now, multiply by 3 because that is the opposite of dividing

p=12*3= 36

7 0
4 years ago
5 more than a number y is negative 2<br> write the word sentence in a equation.
artcher [175]

Answer:

  5 + y = -2

Step-by-step explanation:

To get 5 more than a number, you need to add 5 to the number. Then "5 more than y" is "5+y" or "y+5".

In math, "is" means "is equal to."

5 more than a number y is negative 2 means ...

  5+y = -2

5 0
4 years ago
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HELP ON 11&amp;12 PLZ AND THX
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Um i just started school about three weeks ago and im in advanced but i have not learned that
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Jenny and kelli randomly grab a piece of fruit after track practice, without looking. What is the probolbility rhey both grab an
shtirl [24]
It would be a 75% chance
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3 years ago
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