Question

question
find the slope of the line represented by the equation below.
4y + 5x = -4
answer
attempt 1 out of 2
answer:
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Explanation:

Step1: Rewrite in 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 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

Divide each term in the equation $4y=-5x - 4$ by 4. So we have $y=\frac{-5x}{4}-\frac{4}{4}$, which simplifies to $y =-\frac{5}{4}x - 1$.

Answer:

$-\frac{5}{4}$