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2 years ago

Linear equation in slope intercept form

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

3 0

Answer:

y= 3/2x + 24

Step-by-step explanation:

the slope of the line can be found with this formula: (y2-y1)/(x2-x1) where x and y are the coordinates of two points.

m = (9-6)/(-10+12) = 3/2

for find the equation or the line we can use this formula:

y-y1 = m(x-x1)

y-9 = 3/2(x+10)

y = 3/2x +15+9

y = 3/2x + 24

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) If the gradient of ff is ∇f=xi⃗ +yj⃗ +3zyk⃗ ∇f=xi→+yj→+3zyk→ and the point P=(−6,−6,−2)P=(−6,−6,−2) lies on the level surface

Paha777 [63]

Answer:

-3x-3y-z=38

Step-by-step explanation:

To find the equation of the tangent plane you can use

$\bigtriangledown f_x(x_0,y_0,z_0)(x-x_0)+\bigtriangledown f_y(x_0,y_0,z_0)(y-y_0)+\bigtriangledown f_z(x_0,y_0,z_0)(z-z_0)=0$

the point P is (-6,-6,-2). Hence you have

$(-6)(x-(-6))+(-6)(y-(-6))+(-2)(z-(-2))=0\\-6x-36-6y-36-2z-4=0\\-6x-6y-2z=76\\-3x-3y-z=38$

hope this helps!!

5 0

3 years ago

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goldfiish [28.3K]

Setup is
y = k/x
8 = k/3
k = 24

Now use 6 for y
6 = 24/x
x = 24/6 = 4 or A

5 0

2 years ago

If a 15 ft tall adult giraffe casts a 18 ft long shadow, then how long is the shadow that a 5 ft tall bird bath casts?

Lemur [1.5K]

Answer:

<h3>x = 6 ft. long shadow</h3><h3></h3>

Step-by-step explanation:

its a ratio and proportion:

<u> 15 ft. tall giraffe </u> = <u> 5 ft. tall bird </u>

18 ft. shadow x shadow

15 (x) = 18 (5)

x = 90 / 15

x = 6 ft. long shadow

8 0

2 years ago

Answerr plsssssssssss

Serga [27]

Answer:B

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Identify the slope and y-intercept of the line −2x+5y=−30.

guajiro [1.7K]

Answer:

slope = 2/5 , y-intercept = -30

Step-by-step explanation:

-2x + 5y = -30

5y = 2x - 30

y = 2/5x - 6

we know that the general form is:

y = (slope)*x + (y- intercept)

so, from our equation, we can say that...

slope = 2/5

y- intercept = -30

6 0

3 years ago