Changing standard form to slope intercept form.

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Homework Help Overview

The discussion revolves around converting the equation 4x – 7y – 14 = 0 into slope-intercept form, represented as y = mx + b. Participants are exploring the steps involved in this transformation and clarifying terminology related to the components of the equation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants describe their attempts to rearrange the equation into the desired form, detailing each algebraic step taken. Questions arise regarding the correctness of the approach and the terminology used, particularly concerning the designation of the y-intercept.

Discussion Status

Some participants express confidence in their methods, while others provide feedback on the terminology and suggest alternative approaches to streamline the process. There is an ongoing exchange of ideas without a definitive consensus on the best method.

Contextual Notes

Participants note the importance of correctly identifying the components of the slope-intercept form and the potential for simplifying the process by rearranging terms differently. The discussion reflects a focus on understanding the algebraic manipulation involved.

Kirito123
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Homework Statement


Write the equation 4x – 7y – 14 = 0 in the form y = mx + b.

Homework Equations


"Y= mx + b" and "standard form".

The Attempt at a Solution

4x – 7y – 14 = 0 (add 14 to both sides of the equation)

4x – 7y = 14 (subtract 4x from both sides of the equation)

-7y = -4x + 14 (divide both sides of the equation by -7)

y = -4x/-7 + 14/-7

y = 4/7x + (-2)

so the slope (m) is 4/7 and the initial value (b) is -2Is this the correct way to answer this question. thanks for your time to help me :)
 
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Kirito123 said:

Homework Statement


Write the equation 4x – 7y – 14 = 0 in the form y = mx + b.

Homework Equations


"Y= mx + b" and "standard form".

The Attempt at a Solution

4x – 7y – 14 = 0 (add 14 to both sides of the equation)

4x – 7y = 14 (subtract 4x from both sides of the equation)

-7y = -4x + 14 (divide both sides of the equation by -7)

y = -4x/-7 + 14/-7

y = 4/7x + (-2)

so the slope (m) is 4/7 and the initial value (b) is -2Is this the correct way to answer this question. thanks for your time to help me :)

Correct, well done
 
Thank you a lot. Now I know I'm doing it the correct way :)
 
Kirito123 said:
...

so the slope (m) is 4/7 and the initial value (b) is -2

Is this the correct way to answer this question. thanks for your time to help me :)
We usually refer to b as the y-intercept rather than the initial value.
 
At the start you could have saved at least one operation by adding 7y to both sides.
 

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