Question

write the slope - intercept form of the equation of each line. 4) $4x + y = -6$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the given equation $4x + y=-6$ for $y$.

Step2: Isolate y

To isolate $y$, we subtract $4x$ from both sides of the equation $4x + y=-6$.
Using the subtraction property of equality, if we have $4x + y=-6$, then $y=-4x - 6$.

Answer:

$y=-4x - 6$