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garri49 [273]
3 years ago
7

What is the equation of the line that passes through 1,4 and 2,1

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

y = -3x + 7

Step-by-step explanation:

The equation of a line

y = mx + c

y - intercept point y

m - slope of the line

x - intercept point x

c - intercept point of the line

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

( 1 , 4) ( 2 , 1)

x1 = 1

y1 = 4

x2 = 2

y2 = 1

insert the values

m = 1 - 4 / 2 - 1

m = -3/1

m = -3

y = -3x + c

Step 2: substitute any of the two points given into the equation of a line

y = -3x + c

( 1 ,4)

x = 1

y = 4

4 = -3(1) + c

4 = -3 + c

4 + 3 = c

c = 7

Step 3: sub c into the equation

y = -3x + 7

The equation of the line is

y = -3x + 7

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Answer:

  C. y is 6 less than x

Step-by-step explanation:

It is not hard to check.

  A. 6 times x is 6×8 = 48, not 2

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The relation described in C matches the table.

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3 years ago
Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.
evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

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So, it becomes,

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So, it becomes,

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So, it becomes,

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Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

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Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c. What is the distance between the origin and
Elenna [48]

Answer:

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Step-by-step explanation:

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The direction vector between (0, 0, c) and (0, b, 0) is given as:

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To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

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To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

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(1/a)x + (1/b)y + (1/c)z = 1

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