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hram777 [196]
2 years ago
12

Aline passes through the points (-1, 4) and (2,-2). What is the equation of this line?

Mathematics
1 answer:
irina1246 [14]2 years ago
8 0

Answer:

y= -2x+2

Step-by-step explanation:

You might be interested in
g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
3 years ago
What is the leading coefficient of the polynomial? 5x² + 8x³ +4 - 6x² – 3x5​
Orlov [11]

Answer:

In polynomial function f(x) = 5x² + 2x³ + 4 the leading coefficient is 5.

The leading coefficient of a polynomial is the coefficient of the leading term 5x².

Step-by-step explanation:

6 0
2 years ago
Determine the solution of the equation 4y - 5= 7.<br> A) 4<br> B) 3<br> C)
puteri [66]

Answer:

B) 3

Step-by-step explanation:

add 5 to both sides, 4x=12

divide both sides by 4, x=3

6 0
2 years ago
Read 2 more answers
Does anybody know what is −15÷3/5?
Yanka [14]
I hope this helps you




-15÷3
_____

5



-5
___

5


-1

4 0
3 years ago
Mikayla withdraws $20 on 4 different days durin the week.Find the total change in her account balance after the withdrawls.
Stells [14]

Wait what did she have in her account? We need to know to answer.

7 0
3 years ago
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