Respuesta :
Answer:
The slope-intercept form of the given equation is,
[tex]y = \frac{4x}{7}-2[/tex]
Step-by-step explanation:
The given equation of the line is,
- 4x + 7y = - 14
Adding '4x' on both sides of the above equation, we get
- 4x + 7y + 4x = - 14 + 4x
⇒ 7y = 4x - 14
Now, dividing both sides of the above equation by '7', we get
7y ÷ 7 = (4x - 14) ÷ 7
[tex]\implies y = \frac{4x}{7}-\frac{14}{7}[/tex]
[tex]\implies y = \frac{4x}{7} - 2[/tex]
This is the required equation of the line in slope-intercept form.
