Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

Question

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Answer 1

Textbook Question

Chapter CR, Problem 1E

Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

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Answer 2

Textbook Question

Chapter CR, Problem 1E

Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter CR, Problem 1E

Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter CR, Problem 1E

Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

Answer 8

Expert Solution & Answer

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To calculate: The equation of the line with slope −4 and containing the point (−7,1).

Answer 12

Answer to Problem 1E

Solution:

The equation of the line is y=−4x−27.

Answer 13

Explanation of Solution

Given information:

The slope of the line is −4 and contains the point (−7,1).

Formula used:

Equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Calculation:

Consider a line with the slope −4 and passing through the point (−7,1).

Recall the equation of the line with given slope m and a passing point (x1,y1):

(y−y1)=m(x−x1)

Substitute m as −4 and (x1,y1) as (−7,1) in this equation to get the required equation of line:

(y−y1)=m(x−x1)(y−1)=−4⋅(x−(−7))y−1=−4x−28y=−4x−28+1

Further simplify to get:

y=−4x−28+1y=−4x−27

Thus, the required equation of line is y=−4x−27.

Answer 14

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Write an equation of the line with slope – 4 and containing the point ( − 7 , 1 ) .

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Answer to Problem 1E

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