Find the Rate of Change in the Linear Equation: -5x+y=3

To solve this problem, let's follow these steps:

• Step 1: Convert the given equation to the slope-intercept form.
• Step 2: Identify the slope as the rate of change.

Now, let's work through each step:

Step 1: Convert to Slope-Intercept Form
The given equation is $-5x + y = 3$. To convert it to the slope-intercept form, solve for $y$:

Add $5x$ to both sides to isolate $y$:

$y = 5x + 3$

Here, the equation is now in the form $y = mx + b$, where $m$ represents the slope.

Step 2: Identify the Slope
From the equation $y = 5x + 3$, we can see that the slope $m$ is $5$.

Therefore, the rate of change for the given line equation is $5$.