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2 years ago

2)Write the equation 2x+2y=10 so that y is a function of x. Then find y when x is -2,0,2

1 answer:

5 0

Rewrite 2x + 2y = 10 into slope-intercept form:

y(x)= mx + b

2x - 2x + 2y = -2x + 10

2y/2 = (-2x + 10)/2

y = -x + 5

y(x) = -x + 5

Next, we’ll find the value of y when x = -2, 0, 2:

y(-2) = -x + 5

y(-2) = -(-2) + 5
y(-2) = 2 + 5 = 7

Next, we’ll solve for y(0):

y(0) = -(0) + 5

y(0) = 0 + 5 = 5

Finally, we’ll find y(2):
y(2) = -(2) + 5

y(2) = -2 + 5

y(2) = 3

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Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

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

So now that we have our equation we can just plug in the numbers:

$\frac{(-9)-(-9)}{5-(-3)}$

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

$(-9) = 5(0) + b$

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

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2 years ago

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Answer:

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3 years ago

Please help me! Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 f

blsea [12.9K]

Answer:

Step-by-step explanation:

This is an incomplete problem. Other data were not given.

Given:

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