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Korolek [52]
3 years ago
9

What is the slope of the line that passes through the points (4, 2) and (-16, -10)?

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0
(-10-2)/(-16-4) = -12/-20 = 3/5
dexar [7]3 years ago
3 0

Answer:

-12/20 or 0.6 simplifyed

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
How do you translate this sentence into an inequality?
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5/8x\leq 15
8 0
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Read 2 more answers
slader (a) Find parametric equations for the line through (4, 1, 8) that is perpendicular to the plane x − y + 4z = 2. (Use the
Pavel [41]

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

∴

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

6 0
3 years ago
What is the schumer box?
ollegr [7]

Description
The Schumer box is a summary of the costs of a credit card in the United States. It is named after Chuck Schumer, then New York congressman who was responsible for the legislation requiring that terms of credit cards be clearly outlined in any promotional material. Hope it helps
5 0
2 years ago
What is the equation of the following line <br> (0,0) and (10,-2)
brilliants [131]
Okay, the first step to answering this probelm is finding the slope of this line. 
The equation for slope is 
y₂-y₁
-------
x₂-x₁
Plug the points in 
-2 - 0       -2              1
------- = --------- = -  ------- (negative 1/5) 
10 - 0       10             5
 Now we will use the point slope equation 
y - y₁ = m(x- x₁)
Lets use the point (10,-2)
Plug in the x,y, and your new slope- then simplify 
y +2 = -1/5(x -10)
y + 2 = -1/5x + 2
y = -1/5x 

That's your final equation!


6 0
3 years ago
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