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3 years ago

Write an equation of a line that passes through (3,-2) and (-1,6).

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

-2x -y = -4

Step-by-step explanation:

the formula for calculating the equation of the line passing through two points is (look at the photo)

3 is x1, -2 is y1, -1 is x2 and 6 is y2

solve: x-3/-1-3 = y-(-2)/6-(-2)

x-3/-4 = y+2/8

transport the second fraction to the left of the equal, then it becomes negative:

x-3/-4 - y+2/8 = 0

do the mcm: -2(x-3)-(y+2) = 0

solve (minus in front of a parenthesis changes all signs inside it): -2x+6-y-2 = 0

-2x+4-y = 0

move the unknowns to the left of the equal:

-2x -y = -4

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The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

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3 years ago

PLEASE DONT SEND LINKS OR I WILL REPORT! Emily buys meat for a charity event in her community. Chicken costs 4 AED per kg and be

lyudmila [28]

Answer:

21 AED

Step-by-step explanation:

W know the cost of each kind of meat

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Beef = 3 AED

We also know how much of each we will be buying

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Beef = 2.2 kg

Multiply each price of meat by its respective weight, then add the products together for you final answer.

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3 years ago

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Art [367]

Answer:

Step-by-step explanation:

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maybe you can solve that? I'll solve it below.. but.. if you can.. try it now, on your own

below is my answer... don't look until you have solved yours :P

80+70= 150kph

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Write an equation of a line that passes through (3,-2) and (-1,6).​

Write an equation of a line that passes through (3,-2) and (-1,6).