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

Question

For the following straight line equation, state what is the rate of change?

$-5x+y=3$

00:00 What is the rate of change of the function?

00:03 We want to arrange the equation to represent a straight line, so we'll isolate Y

00:09 The rate of change of the function is the slope of the function

00:12 And this is the solution to the question

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

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 $5$ .

$5$