Changing standard form to slope intercept form.

[Kirito123]

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 -2


Is this the correct way to answer this question. thanks for your time to help me :)

 

[member 587159]

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 -2


Is this the correct way to answer this question. thanks for your time to help me :)

Correct, well done

 

[Kirito123]

Thank you alot. Now I know I'm doing it the correct way :)

 

[SammyS]

...

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.

 

[epenguin]

At the start you could have saved at least one operation by adding 7y to both sides.