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4 years ago

I need to write an equation for the following, please help!! slope = 2; y-intercept is (0,5)

Mathematics

1 answer:

Aneli [31]4 years ago

7 0

Answer:

Could you please show me a graph so I can answer more clearly? I'll follow up on this question if it helps.

Step-by-step explanation:

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Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

8 0

3 years ago

Read 2 more answers

What is the Lcm of 21, 7, and 18 using prime factorization

Vesnalui [34]

LCM(7,18,21) Least Common Multiple is : 126 
Calculate Least Common Multiple for :

7, 18 and 21

Factorize of the above numbers: 7 = 7
 18 = 2 • 32 
 21 = 3 • 7

3 0

3 years ago

Find an equation for a line with slope of 3/4 passing through (2, -3)

murzikaleks [220]

Answer:

y=3/4x-9/2

Step-by-step explanation:

7 0

3 years ago

Find the equation of the linear relationship.

defon

Answer: The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0).

Step-by-step explanation:

3 0

2 years ago

A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to

SashulF [63]

The length of the floor increased by 30% would be 33x1.30 = 42.9 feet.

The scale is 1 cm = 6 feet.

The drawing would be:

42.9 / 6 = 7.15 cm long

The answer is C.

4 0

4 years ago