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3 years ago

Write the equation of a line through the two points in (-2,8) and (5,-1)

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

(-2, 8) and (5, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 8) / (5 + 2) = -9/7

y = -9/7x + b

8 = -9/7(-2) + b

8 = 18/7 + b

8 = (2.57) + b

b = 5.43

y = -9/7x + 5.43

parallel = same slope

y = -9/7x

perpendicular = reciprocated slope

y = 7/9x

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3 years ago

Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

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Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

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3 years ago

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2 years ago

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drek231 [11]

Answer:

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