Question

question
find the slope of the line represented by the equation below.
4y + 5x = -4

Explanation:

Step1: Rewrite in slope - intercept form

We know that the slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the given equation $4y+5x=-4$. First, we isolate the $y$ term. Subtract $5x$ from both sides of the equation:
$4y=-5x - 4$

Step2: Solve for y

Now, divide each term in the equation $4y=-5x - 4$ by 4 to solve for $y$:
$y=\frac{-5x}{4}-\frac{4}{4}$
Simplify the equation:
$y =-\frac{5}{4}x - 1$

Answer:

The slope of the line is $-\frac{5}{4}$