Answer:
The slope-intercept form is,
y = -2x + 3
Explanation:
The given equation of the line is,
4x + 2y - 6 = 0
Subtracting "(4x- 6)" from both sides of the above equation, we get
4x + 2y - 6 - (4x - 6) = 0 - (4x - 6)
⇒ 4x + 2y - 6 - 4x + 6 = 0 - 4x + 6
⇒ 2y = -4x + 6
Now, dividing both sides by '2' of the above equation, we get
2y ÷ 2 = (-4x + 6) ÷ 2
⇒y = -2x + 3
This is the required slope-intercept form of the given line.