Question

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

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 $4=-5x + 4y$. We want to solve for $y$.
First, add $5x$ to both sides of the equation:
$5x + 4=-5x+5x + 4y$, which simplifies to $5x + 4 = 4y$.

Step2: Solve for y

Then, divide each term in the equation $5x + 4 = 4y$ by 4 to isolate $y$.
$\frac{5x}{4}+\frac{4}{4}=\frac{4y}{4}$, which simplifies to $y=\frac{5}{4}x + 1$.
In the slope - intercept form $y = mx + b$, the coefficient of $x$ (i.e., $m$) is the slope. So, the slope $m=\frac{5}{4}$.

Answer:

$\frac{5}{4}$