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3 years ago

Determine the slope of the line passing through the points (8, 10) and (1, 5). state your answer as a fraction in lowest terms.

1 answer:

azamat3 years ago

6 0

Slope between the points (x1,y1) and (x2,y2) is
(y1-y2)/(x1-x2)

given
(8,10) and (1,5)
(x,y)
x1=8
y1=10
x2=1
y2=5

slope=(10-5)/(8-1)=5/7

slope=5/7

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Step-by-step explanation:

First step: I'm going to solve our substitution for y:

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Third step: Plug in first and second step into the given equation dy/dx=f(x,y):

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Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:

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Combine fractions while also distributing u to terms in ( ):

$u'x=\frac{u+u^2-3u-u^3}{3+u^2}$

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Third step: I'm going to separate the variables:

Multiply both sides by the reciprocal of the right hand side fraction.

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Reorder the top a little of left hand side using the commutative property for addition:

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The expression on left hand side almost matches your expression but not quite so something seems a little off.

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A calculator can be helpful with arithmetic.

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