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3 years ago

What is the formula for calculating slope

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

6 0

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

fiasKO [112]3 years ago

3 0

On a graph you can use rise/run

Or you can use y^2-y^1/x^2-x^1

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The price of a car is usally £12,500 it is reduce to £11,625 what is the percentage of the reduction

irina [24]

12,500-11,625=875

1%=125

10%=1250

5%=625

625+125=750=6%

750+125=875=7%

so the percentage is 7%

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3 years ago

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belka [17]

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3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2,

navik [9.2K]

Answer:

The equation of the tangent line is $y = -\frac{5}{18}\cdot x +\frac{14}{9}$ .

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

$2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0$

$2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0$

$6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)$

$y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right)$ (1)

If we know that $(x,y) = (2, 1)$ , then the slope of the tangent line is:

$y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)$

$y' =-\frac{5}{18}$

By definition of tangent line, we determine the intercept of the line ( $b$ ):

$y = m\cdot x + b$

$b = y - m\cdot x$ (2)

If we know that $(x,y) = (2,1)$ and $m = -\frac{5}{18}$ , then the intercept of the tangent line is:

$b = 1 - \left(-\frac{5}{18} \right)\cdot (2)$

$b = \frac{14}{9}$

The equation of the tangent line is $y = -\frac{5}{18}\cdot x +\frac{14}{9}$ .

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Answer:

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Answer:

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